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Finding the Third Proportional to 41,772.38 and 64,637.44

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Solution

The third proportional to 41,772.38 and 64,637.44 is: 100,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772.38 : 64,637.44 = 64,637.44 : x
  2. Step 2: Convert to fraction form
    41,772.38/64,637.44 = 64,637.44/x
  3. Step 3: Cross multiply
    41,772.38x = 64,637.44 × 64,637.44
  4. Step 4: Simplify right side
    41,772.38x = 4,177,998,326.57
  5. Step 5: Solve for x
    x = 4,177,998,326.57/41,772.38
  6. Step 6: Final answer
    x = 100,018.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.