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Finding the Third Proportional to 24,003 and 37,977

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Solution

The third proportional to 24,003 and 37,977 is: 60,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003 : 37,977 = 37,977 : x
  2. Step 2: Convert to fraction form
    24,003/37,977 = 37,977/x
  3. Step 3: Cross multiply
    24,003x = 37,977 × 37,977
  4. Step 4: Simplify right side
    24,003x = 1,442,252,529
  5. Step 5: Solve for x
    x = 1,442,252,529/24,003
  6. Step 6: Final answer
    x = 60,086.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.