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Finding the Third Proportional to 17,089.50 and 22,747.50

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Solution

The third proportional to 17,089.50 and 22,747.50 is: 30,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.50 : 22,747.50 = 22,747.50 : x
  2. Step 2: Convert to fraction form
    17,089.50/22,747.50 = 22,747.50/x
  3. Step 3: Cross multiply
    17,089.50x = 22,747.50 × 22,747.50
  4. Step 4: Simplify right side
    17,089.50x = 517,448,756.25
  5. Step 5: Solve for x
    x = 517,448,756.25/17,089.50
  6. Step 6: Final answer
    x = 30,278.75

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.