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Finding the Third Proportional to 38,894 and 83,314

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Solution

The third proportional to 38,894 and 83,314 is: 178,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 83,314 = 83,314 : x
  2. Step 2: Convert to fraction form
    38,894/83,314 = 83,314/x
  3. Step 3: Cross multiply
    38,894x = 83,314 × 83,314
  4. Step 4: Simplify right side
    38,894x = 6,941,222,596
  5. Step 5: Solve for x
    x = 6,941,222,596/38,894
  6. Step 6: Final answer
    x = 178,465.13

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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.