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Finding the Third Proportional to 17,671.50 and 24,320.25

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Solution

The third proportional to 17,671.50 and 24,320.25 is: 33,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.50 : 24,320.25 = 24,320.25 : x
  2. Step 2: Convert to fraction form
    17,671.50/24,320.25 = 24,320.25/x
  3. Step 3: Cross multiply
    17,671.50x = 24,320.25 × 24,320.25
  4. Step 4: Simplify right side
    17,671.50x = 591,474,560.06
  5. Step 5: Solve for x
    x = 591,474,560.06/17,671.50
  6. Step 6: Final answer
    x = 33,470.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.