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Finding the Third Proportional to 15,202.69 and 22,781.25

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Solution

The third proportional to 15,202.69 and 22,781.25 is: 34,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.69 : 22,781.25 = 22,781.25 : x
  2. Step 2: Convert to fraction form
    15,202.69/22,781.25 = 22,781.25/x
  3. Step 3: Cross multiply
    15,202.69x = 22,781.25 × 22,781.25
  4. Step 4: Simplify right side
    15,202.69x = 518,985,351.56
  5. Step 5: Solve for x
    x = 518,985,351.56/15,202.69
  6. Step 6: Final answer
    x = 34,137.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.