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Finding the Third Proportional to 22,977 and 34,687

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Solution

The third proportional to 22,977 and 34,687 is: 52,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 34,687 = 34,687 : x
  2. Step 2: Convert to fraction form
    22,977/34,687 = 34,687/x
  3. Step 3: Cross multiply
    22,977x = 34,687 × 34,687
  4. Step 4: Simplify right side
    22,977x = 1,203,187,969
  5. Step 5: Solve for x
    x = 1,203,187,969/22,977
  6. Step 6: Final answer
    x = 52,364.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.