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Finding the Third Proportional to 10,209.75 and 16,447.88

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Solution

The third proportional to 10,209.75 and 16,447.88 is: 26,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.75 : 16,447.88 = 16,447.88 : x
  2. Step 2: Convert to fraction form
    10,209.75/16,447.88 = 16,447.88/x
  3. Step 3: Cross multiply
    10,209.75x = 16,447.88 × 16,447.88
  4. Step 4: Simplify right side
    10,209.75x = 270,532,592.02
  5. Step 5: Solve for x
    x = 270,532,592.02/10,209.75
  6. Step 6: Final answer
    x = 26,497.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.