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Finding the Third Proportional to 5,994.75 and 9,075.75

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Solution

The third proportional to 5,994.75 and 9,075.75 is: 13,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.75 : 9,075.75 = 9,075.75 : x
  2. Step 2: Convert to fraction form
    5,994.75/9,075.75 = 9,075.75/x
  3. Step 3: Cross multiply
    5,994.75x = 9,075.75 × 9,075.75
  4. Step 4: Simplify right side
    5,994.75x = 82,369,238.06
  5. Step 5: Solve for x
    x = 82,369,238.06/5,994.75
  6. Step 6: Final answer
    x = 13,740.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.