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Finding the Third Proportional to 24,959 and 37,844

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Solution

The third proportional to 24,959 and 37,844 is: 57,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959 : 37,844 = 37,844 : x
  2. Step 2: Convert to fraction form
    24,959/37,844 = 37,844/x
  3. Step 3: Cross multiply
    24,959x = 37,844 × 37,844
  4. Step 4: Simplify right side
    24,959x = 1,432,168,336
  5. Step 5: Solve for x
    x = 1,432,168,336/24,959
  6. Step 6: Final answer
    x = 57,380.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.