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Finding the Third Proportional to 9,715.13 and 15,002.16

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Solution

The third proportional to 9,715.13 and 15,002.16 is: 23,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.13 : 15,002.16 = 15,002.16 : x
  2. Step 2: Convert to fraction form
    9,715.13/15,002.16 = 15,002.16/x
  3. Step 3: Cross multiply
    9,715.13x = 15,002.16 × 15,002.16
  4. Step 4: Simplify right side
    9,715.13x = 225,064,692.15
  5. Step 5: Solve for x
    x = 225,064,692.15/9,715.13
  6. Step 6: Final answer
    x = 23,166.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.