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Finding the Third Proportional to 36,348 and 77,872

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Solution

The third proportional to 36,348 and 77,872 is: 166,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348 : 77,872 = 77,872 : x
  2. Step 2: Convert to fraction form
    36,348/77,872 = 77,872/x
  3. Step 3: Cross multiply
    36,348x = 77,872 × 77,872
  4. Step 4: Simplify right side
    36,348x = 6,064,048,384
  5. Step 5: Solve for x
    x = 6,064,048,384/36,348
  6. Step 6: Final answer
    x = 166,833.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.