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Finding the Third Proportional to 24,186 and 36,973

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Solution

The third proportional to 24,186 and 36,973 is: 56,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186 : 36,973 = 36,973 : x
  2. Step 2: Convert to fraction form
    24,186/36,973 = 36,973/x
  3. Step 3: Cross multiply
    24,186x = 36,973 × 36,973
  4. Step 4: Simplify right side
    24,186x = 1,367,002,729
  5. Step 5: Solve for x
    x = 1,367,002,729/24,186
  6. Step 6: Final answer
    x = 56,520.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.