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Finding the Third Proportional to 22,791 and 47,885.25

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Solution

The third proportional to 22,791 and 47,885.25 is: 100,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791 : 47,885.25 = 47,885.25 : x
  2. Step 2: Convert to fraction form
    22,791/47,885.25 = 47,885.25/x
  3. Step 3: Cross multiply
    22,791x = 47,885.25 × 47,885.25
  4. Step 4: Simplify right side
    22,791x = 2,292,997,167.56
  5. Step 5: Solve for x
    x = 2,292,997,167.56/22,791
  6. Step 6: Final answer
    x = 100,609.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.