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Finding the Third Proportional to 30,057.75 and 42,724.13

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Solution

The third proportional to 30,057.75 and 42,724.13 is: 60,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.75 : 42,724.13 = 42,724.13 : x
  2. Step 2: Convert to fraction form
    30,057.75/42,724.13 = 42,724.13/x
  3. Step 3: Cross multiply
    30,057.75x = 42,724.13 × 42,724.13
  4. Step 4: Simplify right side
    30,057.75x = 1,825,350,857.02
  5. Step 5: Solve for x
    x = 1,825,350,857.02/30,057.75
  6. Step 6: Final answer
    x = 60,728.13

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.