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Finding the Third Proportional to 12,999.75 and 28,075.25

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Solution

The third proportional to 12,999.75 and 28,075.25 is: 60,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.75 : 28,075.25 = 28,075.25 : x
  2. Step 2: Convert to fraction form
    12,999.75/28,075.25 = 28,075.25/x
  3. Step 3: Cross multiply
    12,999.75x = 28,075.25 × 28,075.25
  4. Step 4: Simplify right side
    12,999.75x = 788,219,662.56
  5. Step 5: Solve for x
    x = 788,219,662.56/12,999.75
  6. Step 6: Final answer
    x = 60,633.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.