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Finding the Third Proportional to 48,634 and 71,371

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Solution

The third proportional to 48,634 and 71,371 is: 104,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634 : 71,371 = 71,371 : x
  2. Step 2: Convert to fraction form
    48,634/71,371 = 71,371/x
  3. Step 3: Cross multiply
    48,634x = 71,371 × 71,371
  4. Step 4: Simplify right side
    48,634x = 5,093,819,641
  5. Step 5: Solve for x
    x = 5,093,819,641/48,634
  6. Step 6: Final answer
    x = 104,737.83

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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.