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Finding the Third Proportional to 41,013.84 and 64,254.52

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Solution

The third proportional to 41,013.84 and 64,254.52 is: 100,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013.84 : 64,254.52 = 64,254.52 : x
  2. Step 2: Convert to fraction form
    41,013.84/64,254.52 = 64,254.52/x
  3. Step 3: Cross multiply
    41,013.84x = 64,254.52 × 64,254.52
  4. Step 4: Simplify right side
    41,013.84x = 4,128,642,778.20
  5. Step 5: Solve for x
    x = 4,128,642,778.20/41,013.84
  6. Step 6: Final answer
    x = 100,664.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.