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Finding the Third Proportional to 15,202.69 and 38,963.53

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Solution

The third proportional to 15,202.69 and 38,963.53 is: 99,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.69 : 38,963.53 = 38,963.53 : x
  2. Step 2: Convert to fraction form
    15,202.69/38,963.53 = 38,963.53/x
  3. Step 3: Cross multiply
    15,202.69x = 38,963.53 × 38,963.53
  4. Step 4: Simplify right side
    15,202.69x = 1,518,156,767.47
  5. Step 5: Solve for x
    x = 1,518,156,767.47/15,202.69
  6. Step 6: Final answer
    x = 99,861.08

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.