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Finding the Third Proportional to 38,911.50 and 54,646.13

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Solution

The third proportional to 38,911.50 and 54,646.13 is: 76,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911.50 : 54,646.13 = 54,646.13 : x
  2. Step 2: Convert to fraction form
    38,911.50/54,646.13 = 54,646.13/x
  3. Step 3: Cross multiply
    38,911.50x = 54,646.13 × 54,646.13
  4. Step 4: Simplify right side
    38,911.50x = 2,986,198,977.52
  5. Step 5: Solve for x
    x = 2,986,198,977.52/38,911.50
  6. Step 6: Final answer
    x = 76,743.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.