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Finding the Third Proportional to 38,628 and 83,034

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Solution

The third proportional to 38,628 and 83,034 is: 178,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,628 : 83,034 = 83,034 : x
  2. Step 2: Convert to fraction form
    38,628/83,034 = 83,034/x
  3. Step 3: Cross multiply
    38,628x = 83,034 × 83,034
  4. Step 4: Simplify right side
    38,628x = 6,894,645,156
  5. Step 5: Solve for x
    x = 6,894,645,156/38,628
  6. Step 6: Final answer
    x = 178,488.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.