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Finding the Third Proportional to 38,548 and 83,288

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Solution

The third proportional to 38,548 and 83,288 is: 179,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548 : 83,288 = 83,288 : x
  2. Step 2: Convert to fraction form
    38,548/83,288 = 83,288/x
  3. Step 3: Cross multiply
    38,548x = 83,288 × 83,288
  4. Step 4: Simplify right side
    38,548x = 6,936,890,944
  5. Step 5: Solve for x
    x = 6,936,890,944/38,548
  6. Step 6: Final answer
    x = 179,954.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.