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Finding the Third Proportional to 22,977 and 36,865

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Solution

The third proportional to 22,977 and 36,865 is: 59,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 36,865 = 36,865 : x
  2. Step 2: Convert to fraction form
    22,977/36,865 = 36,865/x
  3. Step 3: Cross multiply
    22,977x = 36,865 × 36,865
  4. Step 4: Simplify right side
    22,977x = 1,359,028,225
  5. Step 5: Solve for x
    x = 1,359,028,225/22,977
  6. Step 6: Final answer
    x = 59,147.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.