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Finding the Third Proportional to 15,741.75 and 22,008.75

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Solution

The third proportional to 15,741.75 and 22,008.75 is: 30,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.75 : 22,008.75 = 22,008.75 : x
  2. Step 2: Convert to fraction form
    15,741.75/22,008.75 = 22,008.75/x
  3. Step 3: Cross multiply
    15,741.75x = 22,008.75 × 22,008.75
  4. Step 4: Simplify right side
    15,741.75x = 484,385,076.56
  5. Step 5: Solve for x
    x = 484,385,076.56/15,741.75
  6. Step 6: Final answer
    x = 30,770.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.