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Finding the Third Proportional to 14,217 and 20,909.50

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Solution

The third proportional to 14,217 and 20,909.50 is: 30,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217 : 20,909.50 = 20,909.50 : x
  2. Step 2: Convert to fraction form
    14,217/20,909.50 = 20,909.50/x
  3. Step 3: Cross multiply
    14,217x = 20,909.50 × 20,909.50
  4. Step 4: Simplify right side
    14,217x = 437,207,190.25
  5. Step 5: Solve for x
    x = 437,207,190.25/14,217
  6. Step 6: Final answer
    x = 30,752.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.