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Finding the Third Proportional to 46,747.13 and 62,648.44

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Solution

The third proportional to 46,747.13 and 62,648.44 is: 83,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.13 : 62,648.44 = 62,648.44 : x
  2. Step 2: Convert to fraction form
    46,747.13/62,648.44 = 62,648.44/x
  3. Step 3: Cross multiply
    46,747.13x = 62,648.44 × 62,648.44
  4. Step 4: Simplify right side
    46,747.13x = 3,924,826,721.19
  5. Step 5: Solve for x
    x = 3,924,826,721.19/46,747.13
  6. Step 6: Final answer
    x = 83,958.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.