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Finding the Third Proportional to 40,475 and 60,983

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Solution

The third proportional to 40,475 and 60,983 is: 91,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,475 : 60,983 = 60,983 : x
  2. Step 2: Convert to fraction form
    40,475/60,983 = 60,983/x
  3. Step 3: Cross multiply
    40,475x = 60,983 × 60,983
  4. Step 4: Simplify right side
    40,475x = 3,718,926,289
  5. Step 5: Solve for x
    x = 3,718,926,289/40,475
  6. Step 6: Final answer
    x = 91,882.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.