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Finding the Third Proportional to 38,710.13 and 54,511.88

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Solution

The third proportional to 38,710.13 and 54,511.88 is: 76,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710.13 : 54,511.88 = 54,511.88 : x
  2. Step 2: Convert to fraction form
    38,710.13/54,511.88 = 54,511.88/x
  3. Step 3: Cross multiply
    38,710.13x = 54,511.88 × 54,511.88
  4. Step 4: Simplify right side
    38,710.13x = 2,971,544,516.02
  5. Step 5: Solve for x
    x = 2,971,544,516.02/38,710.13
  6. Step 6: Final answer
    x = 76,764.01

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.