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Finding the Third Proportional to 15,931.69 and 24,656.91

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Solution

The third proportional to 15,931.69 and 24,656.91 is: 38,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.69 : 24,656.91 = 24,656.91 : x
  2. Step 2: Convert to fraction form
    15,931.69/24,656.91 = 24,656.91/x
  3. Step 3: Cross multiply
    15,931.69x = 24,656.91 × 24,656.91
  4. Step 4: Simplify right side
    15,931.69x = 607,963,025.82
  5. Step 5: Solve for x
    x = 607,963,025.82/15,931.69
  6. Step 6: Final answer
    x = 38,160.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.