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Finding the Third Proportional to 5,522.55 and 8,265.80

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Solution

The third proportional to 5,522.55 and 8,265.80 is: 12,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.55 : 8,265.80 = 8,265.80 : x
  2. Step 2: Convert to fraction form
    5,522.55/8,265.80 = 8,265.80/x
  3. Step 3: Cross multiply
    5,522.55x = 8,265.80 × 8,265.80
  4. Step 4: Simplify right side
    5,522.55x = 68,323,397.98
  5. Step 5: Solve for x
    x = 68,323,397.98/5,522.55
  6. Step 6: Final answer
    x = 12,371.70

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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.