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Finding the Third Proportional to 38,838 and 83,214

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Solution

The third proportional to 38,838 and 83,214 is: 178,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,838 : 83,214 = 83,214 : x
  2. Step 2: Convert to fraction form
    38,838/83,214 = 83,214/x
  3. Step 3: Cross multiply
    38,838x = 83,214 × 83,214
  4. Step 4: Simplify right side
    38,838x = 6,924,569,796
  5. Step 5: Solve for x
    x = 6,924,569,796/38,838
  6. Step 6: Final answer
    x = 178,293.68

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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.