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Finding the Third Proportional to 38,894 and 75,844

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Solution

The third proportional to 38,894 and 75,844 is: 147,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 75,844 = 75,844 : x
  2. Step 2: Convert to fraction form
    38,894/75,844 = 75,844/x
  3. Step 3: Cross multiply
    38,894x = 75,844 × 75,844
  4. Step 4: Simplify right side
    38,894x = 5,752,312,336
  5. Step 5: Solve for x
    x = 5,752,312,336/38,894
  6. Step 6: Final answer
    x = 147,897.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.