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Finding the Third Proportional to 31,552 and 48,845

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Solution

The third proportional to 31,552 and 48,845 is: 75,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,552 : 48,845 = 48,845 : x
  2. Step 2: Convert to fraction form
    31,552/48,845 = 48,845/x
  3. Step 3: Cross multiply
    31,552x = 48,845 × 48,845
  4. Step 4: Simplify right side
    31,552x = 2,385,834,025
  5. Step 5: Solve for x
    x = 2,385,834,025/31,552
  6. Step 6: Final answer
    x = 75,615.94

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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.