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Finding the Third Proportional to 14,228.85 and 20,824.29

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Solution

The third proportional to 14,228.85 and 20,824.29 is: 30,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.85 : 20,824.29 = 20,824.29 : x
  2. Step 2: Convert to fraction form
    14,228.85/20,824.29 = 20,824.29/x
  3. Step 3: Cross multiply
    14,228.85x = 20,824.29 × 20,824.29
  4. Step 4: Simplify right side
    14,228.85x = 433,650,938.70
  5. Step 5: Solve for x
    x = 433,650,938.70/14,228.85
  6. Step 6: Final answer
    x = 30,476.88

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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.