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Finding the Third Proportional to 23,872 and 37,856

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Solution

The third proportional to 23,872 and 37,856 is: 60,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872 : 37,856 = 37,856 : x
  2. Step 2: Convert to fraction form
    23,872/37,856 = 37,856/x
  3. Step 3: Cross multiply
    23,872x = 37,856 × 37,856
  4. Step 4: Simplify right side
    23,872x = 1,433,076,736
  5. Step 5: Solve for x
    x = 1,433,076,736/23,872
  6. Step 6: Final answer
    x = 60,031.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.