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Finding the Third Proportional to 12,130 and 16,075

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Solution

The third proportional to 12,130 and 16,075 is: 21,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130 : 16,075 = 16,075 : x
  2. Step 2: Convert to fraction form
    12,130/16,075 = 16,075/x
  3. Step 3: Cross multiply
    12,130x = 16,075 × 16,075
  4. Step 4: Simplify right side
    12,130x = 258,405,625
  5. Step 5: Solve for x
    x = 258,405,625/12,130
  6. Step 6: Final answer
    x = 21,303.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.