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Finding the Third Proportional to 11,220.75 and 16,614.14

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Solution

The third proportional to 11,220.75 and 16,614.14 is: 24,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.75 : 16,614.14 = 16,614.14 : x
  2. Step 2: Convert to fraction form
    11,220.75/16,614.14 = 16,614.14/x
  3. Step 3: Cross multiply
    11,220.75x = 16,614.14 × 16,614.14
  4. Step 4: Simplify right side
    11,220.75x = 276,029,668.71
  5. Step 5: Solve for x
    x = 276,029,668.71/11,220.75
  6. Step 6: Final answer
    x = 24,599.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.