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Finding the Third Proportional to 42,041.25 and 61,444.13

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Solution

The third proportional to 42,041.25 and 61,444.13 is: 89,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,041.25 : 61,444.13 = 61,444.13 : x
  2. Step 2: Convert to fraction form
    42,041.25/61,444.13 = 61,444.13/x
  3. Step 3: Cross multiply
    42,041.25x = 61,444.13 × 61,444.13
  4. Step 4: Simplify right side
    42,041.25x = 3,775,380,497.02
  5. Step 5: Solve for x
    x = 3,775,380,497.02/42,041.25
  6. Step 6: Final answer
    x = 89,801.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.