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Finding the Third Proportional to 24,872 and 37,420

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Solution

The third proportional to 24,872 and 37,420 is: 56,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872 : 37,420 = 37,420 : x
  2. Step 2: Convert to fraction form
    24,872/37,420 = 37,420/x
  3. Step 3: Cross multiply
    24,872x = 37,420 × 37,420
  4. Step 4: Simplify right side
    24,872x = 1,400,256,400
  5. Step 5: Solve for x
    x = 1,400,256,400/24,872
  6. Step 6: Final answer
    x = 56,298.50

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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.