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Finding the Third Proportional to 38,102 and 82,560

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Solution

The third proportional to 38,102 and 82,560 is: 178,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102 : 82,560 = 82,560 : x
  2. Step 2: Convert to fraction form
    38,102/82,560 = 82,560/x
  3. Step 3: Cross multiply
    38,102x = 82,560 × 82,560
  4. Step 4: Simplify right side
    38,102x = 6,816,153,600
  5. Step 5: Solve for x
    x = 6,816,153,600/38,102
  6. Step 6: Final answer
    x = 178,892.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.