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Finding the Third Proportional to 49,644 and 74,924

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Solution

The third proportional to 49,644 and 74,924 is: 113,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 74,924 = 74,924 : x
  2. Step 2: Convert to fraction form
    49,644/74,924 = 74,924/x
  3. Step 3: Cross multiply
    49,644x = 74,924 × 74,924
  4. Step 4: Simplify right side
    49,644x = 5,613,605,776
  5. Step 5: Solve for x
    x = 5,613,605,776/49,644
  6. Step 6: Final answer
    x = 113,077.23

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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.