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Finding the Third Proportional to 41,664.38 and 59,538.38

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Solution

The third proportional to 41,664.38 and 59,538.38 is: 85,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,664.38 : 59,538.38 = 59,538.38 : x
  2. Step 2: Convert to fraction form
    41,664.38/59,538.38 = 59,538.38/x
  3. Step 3: Cross multiply
    41,664.38x = 59,538.38 × 59,538.38
  4. Step 4: Simplify right side
    41,664.38x = 3,544,818,097.64
  5. Step 5: Solve for x
    x = 3,544,818,097.64/41,664.38
  6. Step 6: Final answer
    x = 85,080.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.