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Finding the Third Proportional to 41,275.13 and 55,735.88

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Solution

The third proportional to 41,275.13 and 55,735.88 is: 75,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,275.13 : 55,735.88 = 55,735.88 : x
  2. Step 2: Convert to fraction form
    41,275.13/55,735.88 = 55,735.88/x
  3. Step 3: Cross multiply
    41,275.13x = 55,735.88 × 55,735.88
  4. Step 4: Simplify right side
    41,275.13x = 3,106,487,762.02
  5. Step 5: Solve for x
    x = 3,106,487,762.02/41,275.13
  6. Step 6: Final answer
    x = 75,262.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.