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Finding the Third Proportional to 14,882.88 and 20,267.63

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Solution

The third proportional to 14,882.88 and 20,267.63 is: 27,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.88 : 20,267.63 = 20,267.63 : x
  2. Step 2: Convert to fraction form
    14,882.88/20,267.63 = 20,267.63/x
  3. Step 3: Cross multiply
    14,882.88x = 20,267.63 × 20,267.63
  4. Step 4: Simplify right side
    14,882.88x = 410,776,623.14
  5. Step 5: Solve for x
    x = 410,776,623.14/14,882.88
  6. Step 6: Final answer
    x = 27,600.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.