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Finding the Third Proportional to 44,924 and 74,866

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Solution

The third proportional to 44,924 and 74,866 is: 124,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,924 : 74,866 = 74,866 : x
  2. Step 2: Convert to fraction form
    44,924/74,866 = 74,866/x
  3. Step 3: Cross multiply
    44,924x = 74,866 × 74,866
  4. Step 4: Simplify right side
    44,924x = 5,604,917,956
  5. Step 5: Solve for x
    x = 5,604,917,956/44,924
  6. Step 6: Final answer
    x = 124,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.