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Finding the Third Proportional to 24,618 and 36,831

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Solution

The third proportional to 24,618 and 36,831 is: 55,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618 : 36,831 = 36,831 : x
  2. Step 2: Convert to fraction form
    24,618/36,831 = 36,831/x
  3. Step 3: Cross multiply
    24,618x = 36,831 × 36,831
  4. Step 4: Simplify right side
    24,618x = 1,356,522,561
  5. Step 5: Solve for x
    x = 1,356,522,561/24,618
  6. Step 6: Final answer
    x = 55,102.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.