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Finding the Third Proportional to 38,473.50 and 60,870

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Solution

The third proportional to 38,473.50 and 60,870 is: 96,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.50 : 60,870 = 60,870 : x
  2. Step 2: Convert to fraction form
    38,473.50/60,870 = 60,870/x
  3. Step 3: Cross multiply
    38,473.50x = 60,870 × 60,870
  4. Step 4: Simplify right side
    38,473.50x = 3,705,156,900
  5. Step 5: Solve for x
    x = 3,705,156,900/38,473.50
  6. Step 6: Final answer
    x = 96,304.13

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.