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Finding the Third Proportional to 24,037 and 36,966

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Solution

The third proportional to 24,037 and 36,966 is: 56,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037 : 36,966 = 36,966 : x
  2. Step 2: Convert to fraction form
    24,037/36,966 = 36,966/x
  3. Step 3: Cross multiply
    24,037x = 36,966 × 36,966
  4. Step 4: Simplify right side
    24,037x = 1,366,485,156
  5. Step 5: Solve for x
    x = 1,366,485,156/24,037
  6. Step 6: Final answer
    x = 56,849.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.