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Finding the Third Proportional to 6,591.50 and 14,399

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Solution

The third proportional to 6,591.50 and 14,399 is: 31,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.50 : 14,399 = 14,399 : x
  2. Step 2: Convert to fraction form
    6,591.50/14,399 = 14,399/x
  3. Step 3: Cross multiply
    6,591.50x = 14,399 × 14,399
  4. Step 4: Simplify right side
    6,591.50x = 207,331,201
  5. Step 5: Solve for x
    x = 207,331,201/6,591.50
  6. Step 6: Final answer
    x = 31,454.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.