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Finding the Third Proportional to 47,686.38 and 73,721.44

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Solution

The third proportional to 47,686.38 and 73,721.44 is: 113,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,686.38 : 73,721.44 = 73,721.44 : x
  2. Step 2: Convert to fraction form
    47,686.38/73,721.44 = 73,721.44/x
  3. Step 3: Cross multiply
    47,686.38x = 73,721.44 × 73,721.44
  4. Step 4: Simplify right side
    47,686.38x = 5,434,850,347.07
  5. Step 5: Solve for x
    x = 5,434,850,347.07/47,686.38
  6. Step 6: Final answer
    x = 113,970.72

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Why These Related Problems?

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