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Finding the Third Proportional to 41,335.31 and 65,693.53

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Solution

The third proportional to 41,335.31 and 65,693.53 is: 104,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,335.31 : 65,693.53 = 65,693.53 : x
  2. Step 2: Convert to fraction form
    41,335.31/65,693.53 = 65,693.53/x
  3. Step 3: Cross multiply
    41,335.31x = 65,693.53 × 65,693.53
  4. Step 4: Simplify right side
    41,335.31x = 4,315,640,048.09
  5. Step 5: Solve for x
    x = 4,315,640,048.09/41,335.31
  6. Step 6: Final answer
    x = 104,405.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.