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Finding the Third Proportional to 38,516 and 82,564

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Solution

The third proportional to 38,516 and 82,564 is: 176,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516 : 82,564 = 82,564 : x
  2. Step 2: Convert to fraction form
    38,516/82,564 = 82,564/x
  3. Step 3: Cross multiply
    38,516x = 82,564 × 82,564
  4. Step 4: Simplify right side
    38,516x = 6,816,814,096
  5. Step 5: Solve for x
    x = 6,816,814,096/38,516
  6. Step 6: Final answer
    x = 176,986.55

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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.