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Finding the Third Proportional to 29,241 and 47,091.38

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Solution

The third proportional to 29,241 and 47,091.38 is: 75,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241 : 47,091.38 = 47,091.38 : x
  2. Step 2: Convert to fraction form
    29,241/47,091.38 = 47,091.38/x
  3. Step 3: Cross multiply
    29,241x = 47,091.38 × 47,091.38
  4. Step 4: Simplify right side
    29,241x = 2,217,597,599.39
  5. Step 5: Solve for x
    x = 2,217,597,599.39/29,241
  6. Step 6: Final answer
    x = 75,838.64

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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.