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Finding the Third Proportional to 31,747.78 and 46,672.88

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Solution

The third proportional to 31,747.78 and 46,672.88 is: 68,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.78 : 46,672.88 = 46,672.88 : x
  2. Step 2: Convert to fraction form
    31,747.78/46,672.88 = 46,672.88/x
  3. Step 3: Cross multiply
    31,747.78x = 46,672.88 × 46,672.88
  4. Step 4: Simplify right side
    31,747.78x = 2,178,357,260.77
  5. Step 5: Solve for x
    x = 2,178,357,260.77/31,747.78
  6. Step 6: Final answer
    x = 68,614.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.