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Finding the Third Proportional to 5,395.50 and 8,332.88

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Solution

The third proportional to 5,395.50 and 8,332.88 is: 12,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.50 : 8,332.88 = 8,332.88 : x
  2. Step 2: Convert to fraction form
    5,395.50/8,332.88 = 8,332.88/x
  3. Step 3: Cross multiply
    5,395.50x = 8,332.88 × 8,332.88
  4. Step 4: Simplify right side
    5,395.50x = 69,436,805.77
  5. Step 5: Solve for x
    x = 69,436,805.77/5,395.50
  6. Step 6: Final answer
    x = 12,869.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.