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Finding the Third Proportional to 31,536 and 49,464

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Solution

The third proportional to 31,536 and 49,464 is: 77,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536 : 49,464 = 49,464 : x
  2. Step 2: Convert to fraction form
    31,536/49,464 = 49,464/x
  3. Step 3: Cross multiply
    31,536x = 49,464 × 49,464
  4. Step 4: Simplify right side
    31,536x = 2,446,687,296
  5. Step 5: Solve for x
    x = 2,446,687,296/31,536
  6. Step 6: Final answer
    x = 77,583.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.