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Finding the Third Proportional to 36,894 and 79,048

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Solution

The third proportional to 36,894 and 79,048 is: 169,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894 : 79,048 = 79,048 : x
  2. Step 2: Convert to fraction form
    36,894/79,048 = 79,048/x
  3. Step 3: Cross multiply
    36,894x = 79,048 × 79,048
  4. Step 4: Simplify right side
    36,894x = 6,248,586,304
  5. Step 5: Solve for x
    x = 6,248,586,304/36,894
  6. Step 6: Final answer
    x = 169,365.92

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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.