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Finding the Third Proportional to 48,471 and 71,108.50

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Solution

The third proportional to 48,471 and 71,108.50 is: 104,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471 : 71,108.50 = 71,108.50 : x
  2. Step 2: Convert to fraction form
    48,471/71,108.50 = 71,108.50/x
  3. Step 3: Cross multiply
    48,471x = 71,108.50 × 71,108.50
  4. Step 4: Simplify right side
    48,471x = 5,056,418,772.25
  5. Step 5: Solve for x
    x = 5,056,418,772.25/48,471
  6. Step 6: Final answer
    x = 104,318.43

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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.