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Finding the Third Proportional to 38,348 and 82,160

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Solution

The third proportional to 38,348 and 82,160 is: 176,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 82,160 = 82,160 : x
  2. Step 2: Convert to fraction form
    38,348/82,160 = 82,160/x
  3. Step 3: Cross multiply
    38,348x = 82,160 × 82,160
  4. Step 4: Simplify right side
    38,348x = 6,750,265,600
  5. Step 5: Solve for x
    x = 6,750,265,600/38,348
  6. Step 6: Final answer
    x = 176,026.54

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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.