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Finding the Third Proportional to 24,325 and 36,977

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Solution

The third proportional to 24,325 and 36,977 is: 56,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325 : 36,977 = 36,977 : x
  2. Step 2: Convert to fraction form
    24,325/36,977 = 36,977/x
  3. Step 3: Cross multiply
    24,325x = 36,977 × 36,977
  4. Step 4: Simplify right side
    24,325x = 1,367,298,529
  5. Step 5: Solve for x
    x = 1,367,298,529/24,325
  6. Step 6: Final answer
    x = 56,209.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.