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Finding the Third Proportional to 9,708.75 and 17,149.50

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Solution

The third proportional to 9,708.75 and 17,149.50 is: 30,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.75 : 17,149.50 = 17,149.50 : x
  2. Step 2: Convert to fraction form
    9,708.75/17,149.50 = 17,149.50/x
  3. Step 3: Cross multiply
    9,708.75x = 17,149.50 × 17,149.50
  4. Step 4: Simplify right side
    9,708.75x = 294,105,350.25
  5. Step 5: Solve for x
    x = 294,105,350.25/9,708.75
  6. Step 6: Final answer
    x = 30,292.81

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.