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Finding the Third Proportional to 15,241.50 and 20,229.19

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Solution

The third proportional to 15,241.50 and 20,229.19 is: 26,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.50 : 20,229.19 = 20,229.19 : x
  2. Step 2: Convert to fraction form
    15,241.50/20,229.19 = 20,229.19/x
  3. Step 3: Cross multiply
    15,241.50x = 20,229.19 × 20,229.19
  4. Step 4: Simplify right side
    15,241.50x = 409,220,026.91
  5. Step 5: Solve for x
    x = 409,220,026.91/15,241.50
  6. Step 6: Final answer
    x = 26,849.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.