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Finding the Third Proportional to 41,966.44 and 64,837.13

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Solution

The third proportional to 41,966.44 and 64,837.13 is: 100,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,966.44 : 64,837.13 = 64,837.13 : x
  2. Step 2: Convert to fraction form
    41,966.44/64,837.13 = 64,837.13/x
  3. Step 3: Cross multiply
    41,966.44x = 64,837.13 × 64,837.13
  4. Step 4: Simplify right side
    41,966.44x = 4,203,852,778.27
  5. Step 5: Solve for x
    x = 4,203,852,778.27/41,966.44
  6. Step 6: Final answer
    x = 100,171.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.