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Finding the Third Proportional to 38,657.25 and 82,417.50

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Solution

The third proportional to 38,657.25 and 82,417.50 is: 175,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.25 : 82,417.50 = 82,417.50 : x
  2. Step 2: Convert to fraction form
    38,657.25/82,417.50 = 82,417.50/x
  3. Step 3: Cross multiply
    38,657.25x = 82,417.50 × 82,417.50
  4. Step 4: Simplify right side
    38,657.25x = 6,792,644,306.25
  5. Step 5: Solve for x
    x = 6,792,644,306.25/38,657.25
  6. Step 6: Final answer
    x = 175,714.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.