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Finding the Third Proportional to 8,914.92 and 12,462.68

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Solution

The third proportional to 8,914.92 and 12,462.68 is: 17,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.92 : 12,462.68 = 12,462.68 : x
  2. Step 2: Convert to fraction form
    8,914.92/12,462.68 = 12,462.68/x
  3. Step 3: Cross multiply
    8,914.92x = 12,462.68 × 12,462.68
  4. Step 4: Simplify right side
    8,914.92x = 155,318,384.99
  5. Step 5: Solve for x
    x = 155,318,384.99/8,914.92
  6. Step 6: Final answer
    x = 17,422.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.