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Finding the Third Proportional to 34,957 and 54,506

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Solution

The third proportional to 34,957 and 54,506 is: 84,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957 : 54,506 = 54,506 : x
  2. Step 2: Convert to fraction form
    34,957/54,506 = 54,506/x
  3. Step 3: Cross multiply
    34,957x = 54,506 × 54,506
  4. Step 4: Simplify right side
    34,957x = 2,970,904,036
  5. Step 5: Solve for x
    x = 2,970,904,036/34,957
  6. Step 6: Final answer
    x = 84,987.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.