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Finding the Third Proportional to 7,589.50 and 15,554

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Solution

The third proportional to 7,589.50 and 15,554 is: 31,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.50 : 15,554 = 15,554 : x
  2. Step 2: Convert to fraction form
    7,589.50/15,554 = 15,554/x
  3. Step 3: Cross multiply
    7,589.50x = 15,554 × 15,554
  4. Step 4: Simplify right side
    7,589.50x = 241,926,916
  5. Step 5: Solve for x
    x = 241,926,916/7,589.50
  6. Step 6: Final answer
    x = 31,876.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.