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Finding the Third Proportional to 10,137.66 and 18,073.13

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Solution

The third proportional to 10,137.66 and 18,073.13 is: 32,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.66 : 18,073.13 = 18,073.13 : x
  2. Step 2: Convert to fraction form
    10,137.66/18,073.13 = 18,073.13/x
  3. Step 3: Cross multiply
    10,137.66x = 18,073.13 × 18,073.13
  4. Step 4: Simplify right side
    10,137.66x = 326,637,847.27
  5. Step 5: Solve for x
    x = 326,637,847.27/10,137.66
  6. Step 6: Final answer
    x = 32,220.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.