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Finding the Third Proportional to 41,974.88 and 66,463.88

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Solution

The third proportional to 41,974.88 and 66,463.88 is: 105,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,974.88 : 66,463.88 = 66,463.88 : x
  2. Step 2: Convert to fraction form
    41,974.88/66,463.88 = 66,463.88/x
  3. Step 3: Cross multiply
    41,974.88x = 66,463.88 × 66,463.88
  4. Step 4: Simplify right side
    41,974.88x = 4,417,446,680.02
  5. Step 5: Solve for x
    x = 4,417,446,680.02/41,974.88
  6. Step 6: Final answer
    x = 105,240.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.