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Finding the Third Proportional to 38,706.77 and 54,508.41

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Solution

The third proportional to 38,706.77 and 54,508.41 is: 76,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.77 : 54,508.41 = 54,508.41 : x
  2. Step 2: Convert to fraction form
    38,706.77/54,508.41 = 54,508.41/x
  3. Step 3: Cross multiply
    38,706.77x = 54,508.41 × 54,508.41
  4. Step 4: Simplify right side
    38,706.77x = 2,971,166,990.69
  5. Step 5: Solve for x
    x = 2,971,166,990.69/38,706.77
  6. Step 6: Final answer
    x = 76,760.92

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Why These Related Problems?

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