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Finding the Third Proportional to 7,957.41 and 17,503.17

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Solution

The third proportional to 7,957.41 and 17,503.17 is: 38,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.41 : 17,503.17 = 17,503.17 : x
  2. Step 2: Convert to fraction form
    7,957.41/17,503.17 = 17,503.17/x
  3. Step 3: Cross multiply
    7,957.41x = 17,503.17 × 17,503.17
  4. Step 4: Simplify right side
    7,957.41x = 306,361,025.69
  5. Step 5: Solve for x
    x = 306,361,025.69/7,957.41
  6. Step 6: Final answer
    x = 38,500.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.