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Finding the Third Proportional to 17,250.75 and 25,724.25

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Solution

The third proportional to 17,250.75 and 25,724.25 is: 38,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,250.75 : 25,724.25 = 25,724.25 : x
  2. Step 2: Convert to fraction form
    17,250.75/25,724.25 = 25,724.25/x
  3. Step 3: Cross multiply
    17,250.75x = 25,724.25 × 25,724.25
  4. Step 4: Simplify right side
    17,250.75x = 661,737,038.06
  5. Step 5: Solve for x
    x = 661,737,038.06/17,250.75
  6. Step 6: Final answer
    x = 38,359.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.