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Finding the Third Proportional to 31,747.13 and 48,638.25

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Solution

The third proportional to 31,747.13 and 48,638.25 is: 74,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.13 : 48,638.25 = 48,638.25 : x
  2. Step 2: Convert to fraction form
    31,747.13/48,638.25 = 48,638.25/x
  3. Step 3: Cross multiply
    31,747.13x = 48,638.25 × 48,638.25
  4. Step 4: Simplify right side
    31,747.13x = 2,365,679,363.06
  5. Step 5: Solve for x
    x = 2,365,679,363.06/31,747.13
  6. Step 6: Final answer
    x = 74,516.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.