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Finding the Third Proportional to 38,854.50 and 60,178.13

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Solution

The third proportional to 38,854.50 and 60,178.13 is: 93,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.50 : 60,178.13 = 60,178.13 : x
  2. Step 2: Convert to fraction form
    38,854.50/60,178.13 = 60,178.13/x
  3. Step 3: Cross multiply
    38,854.50x = 60,178.13 × 60,178.13
  4. Step 4: Simplify right side
    38,854.50x = 3,621,406,728.52
  5. Step 5: Solve for x
    x = 3,621,406,728.52/38,854.50
  6. Step 6: Final answer
    x = 93,204.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.