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Finding the Third Proportional to 5,562.42 and 8,134.17

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Solution

The third proportional to 5,562.42 and 8,134.17 is: 11,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.42 : 8,134.17 = 8,134.17 : x
  2. Step 2: Convert to fraction form
    5,562.42/8,134.17 = 8,134.17/x
  3. Step 3: Cross multiply
    5,562.42x = 8,134.17 × 8,134.17
  4. Step 4: Simplify right side
    5,562.42x = 66,164,752.09
  5. Step 5: Solve for x
    x = 66,164,752.09/5,562.42
  6. Step 6: Final answer
    x = 11,894.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.