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Finding the Third Proportional to 5,020.59 and 7,515.70

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Solution

The third proportional to 5,020.59 and 7,515.70 is: 11,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.59 : 7,515.70 = 7,515.70 : x
  2. Step 2: Convert to fraction form
    5,020.59/7,515.70 = 7,515.70/x
  3. Step 3: Cross multiply
    5,020.59x = 7,515.70 × 7,515.70
  4. Step 4: Simplify right side
    5,020.59x = 56,485,793.46
  5. Step 5: Solve for x
    x = 56,485,793.46/5,020.59
  6. Step 6: Final answer
    x = 11,250.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.