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Finding the Third Proportional to 51,982 and 77,627

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Solution

The third proportional to 51,982 and 77,627 is: 115,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982 : 77,627 = 77,627 : x
  2. Step 2: Convert to fraction form
    51,982/77,627 = 77,627/x
  3. Step 3: Cross multiply
    51,982x = 77,627 × 77,627
  4. Step 4: Simplify right side
    51,982x = 6,025,951,129
  5. Step 5: Solve for x
    x = 6,025,951,129/51,982
  6. Step 6: Final answer
    x = 115,923.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.