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Finding the Third Proportional to 38,829 and 82,746

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Solution

The third proportional to 38,829 and 82,746 is: 176,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,829 : 82,746 = 82,746 : x
  2. Step 2: Convert to fraction form
    38,829/82,746 = 82,746/x
  3. Step 3: Cross multiply
    38,829x = 82,746 × 82,746
  4. Step 4: Simplify right side
    38,829x = 6,846,900,516
  5. Step 5: Solve for x
    x = 6,846,900,516/38,829
  6. Step 6: Final answer
    x = 176,334.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.