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Finding the Third Proportional to 4,486.66 and 9,562.79

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Solution

The third proportional to 4,486.66 and 9,562.79 is: 20,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.66 : 9,562.79 = 9,562.79 : x
  2. Step 2: Convert to fraction form
    4,486.66/9,562.79 = 9,562.79/x
  3. Step 3: Cross multiply
    4,486.66x = 9,562.79 × 9,562.79
  4. Step 4: Simplify right side
    4,486.66x = 91,446,869.28
  5. Step 5: Solve for x
    x = 91,446,869.28/4,486.66
  6. Step 6: Final answer
    x = 20,381.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.