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Finding the Third Proportional to 17,335.50 and 25,747.50

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Solution

The third proportional to 17,335.50 and 25,747.50 is: 38,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.50 : 25,747.50 = 25,747.50 : x
  2. Step 2: Convert to fraction form
    17,335.50/25,747.50 = 25,747.50/x
  3. Step 3: Cross multiply
    17,335.50x = 25,747.50 × 25,747.50
  4. Step 4: Simplify right side
    17,335.50x = 662,933,756.25
  5. Step 5: Solve for x
    x = 662,933,756.25/17,335.50
  6. Step 6: Final answer
    x = 38,241.40

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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.