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Finding the Third Proportional to 48,474 and 71,113

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Solution

The third proportional to 48,474 and 71,113 is: 104,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474 : 71,113 = 71,113 : x
  2. Step 2: Convert to fraction form
    48,474/71,113 = 71,113/x
  3. Step 3: Cross multiply
    48,474x = 71,113 × 71,113
  4. Step 4: Simplify right side
    48,474x = 5,057,058,769
  5. Step 5: Solve for x
    x = 5,057,058,769/48,474
  6. Step 6: Final answer
    x = 104,325.18

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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.