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Finding the Third Proportional to 48,418 and 66,674

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Solution

The third proportional to 48,418 and 66,674 is: 91,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,418 : 66,674 = 66,674 : x
  2. Step 2: Convert to fraction form
    48,418/66,674 = 66,674/x
  3. Step 3: Cross multiply
    48,418x = 66,674 × 66,674
  4. Step 4: Simplify right side
    48,418x = 4,445,422,276
  5. Step 5: Solve for x
    x = 4,445,422,276/48,418
  6. Step 6: Final answer
    x = 91,813.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.