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Finding the Third Proportional to 24,936 and 37,184

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Solution

The third proportional to 24,936 and 37,184 is: 55,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,936 : 37,184 = 37,184 : x
  2. Step 2: Convert to fraction form
    24,936/37,184 = 37,184/x
  3. Step 3: Cross multiply
    24,936x = 37,184 × 37,184
  4. Step 4: Simplify right side
    24,936x = 1,382,649,856
  5. Step 5: Solve for x
    x = 1,382,649,856/24,936
  6. Step 6: Final answer
    x = 55,447.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.