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Finding the Third Proportional to 48,470 and 71,107

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Solution

The third proportional to 48,470 and 71,107 is: 104,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470 : 71,107 = 71,107 : x
  2. Step 2: Convert to fraction form
    48,470/71,107 = 71,107/x
  3. Step 3: Cross multiply
    48,470x = 71,107 × 71,107
  4. Step 4: Simplify right side
    48,470x = 5,056,205,449
  5. Step 5: Solve for x
    x = 5,056,205,449/48,470
  6. Step 6: Final answer
    x = 104,316.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.