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Finding the Third Proportional to 4,344.87 and 9,486.12

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Solution

The third proportional to 4,344.87 and 9,486.12 is: 20,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.87 : 9,486.12 = 9,486.12 : x
  2. Step 2: Convert to fraction form
    4,344.87/9,486.12 = 9,486.12/x
  3. Step 3: Cross multiply
    4,344.87x = 9,486.12 × 9,486.12
  4. Step 4: Simplify right side
    4,344.87x = 89,986,419.29
  5. Step 5: Solve for x
    x = 89,986,419.29/4,344.87
  6. Step 6: Final answer
    x = 20,710.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.