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Finding the Third Proportional to 31,512 and 49,436

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Solution

The third proportional to 31,512 and 49,436 is: 77,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512 : 49,436 = 49,436 : x
  2. Step 2: Convert to fraction form
    31,512/49,436 = 49,436/x
  3. Step 3: Cross multiply
    31,512x = 49,436 × 49,436
  4. Step 4: Simplify right side
    31,512x = 2,443,918,096
  5. Step 5: Solve for x
    x = 2,443,918,096/31,512
  6. Step 6: Final answer
    x = 77,555.16

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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.