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Finding the Third Proportional to 49,677 and 74,982

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Solution

The third proportional to 49,677 and 74,982 is: 113,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,677 : 74,982 = 74,982 : x
  2. Step 2: Convert to fraction form
    49,677/74,982 = 74,982/x
  3. Step 3: Cross multiply
    49,677x = 74,982 × 74,982
  4. Step 4: Simplify right side
    49,677x = 5,622,300,324
  5. Step 5: Solve for x
    x = 5,622,300,324/49,677
  6. Step 6: Final answer
    x = 113,177.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.