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Finding the Third Proportional to 41,012.25 and 63,335.88

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Solution

The third proportional to 41,012.25 and 63,335.88 is: 97,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,012.25 : 63,335.88 = 63,335.88 : x
  2. Step 2: Convert to fraction form
    41,012.25/63,335.88 = 63,335.88/x
  3. Step 3: Cross multiply
    41,012.25x = 63,335.88 × 63,335.88
  4. Step 4: Simplify right side
    41,012.25x = 4,011,433,062.02
  5. Step 5: Solve for x
    x = 4,011,433,062.02/41,012.25
  6. Step 6: Final answer
    x = 97,810.61

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