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Finding the Third Proportional to 14,899 and 20,290

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Solution

The third proportional to 14,899 and 20,290 is: 27,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899 : 20,290 = 20,290 : x
  2. Step 2: Convert to fraction form
    14,899/20,290 = 20,290/x
  3. Step 3: Cross multiply
    14,899x = 20,290 × 20,290
  4. Step 4: Simplify right side
    14,899x = 411,684,100
  5. Step 5: Solve for x
    x = 411,684,100/14,899
  6. Step 6: Final answer
    x = 27,631.66

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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.