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Finding the Third Proportional to 41,632.25 and 63,491.25

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Solution

The third proportional to 41,632.25 and 63,491.25 is: 96,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,632.25 : 63,491.25 = 63,491.25 : x
  2. Step 2: Convert to fraction form
    41,632.25/63,491.25 = 63,491.25/x
  3. Step 3: Cross multiply
    41,632.25x = 63,491.25 × 63,491.25
  4. Step 4: Simplify right side
    41,632.25x = 4,031,138,826.56
  5. Step 5: Solve for x
    x = 4,031,138,826.56/41,632.25
  6. Step 6: Final answer
    x = 96,827.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.