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Finding the Third Proportional to 38,454 and 82,658

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Solution

The third proportional to 38,454 and 82,658 is: 177,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 82,658 = 82,658 : x
  2. Step 2: Convert to fraction form
    38,454/82,658 = 82,658/x
  3. Step 3: Cross multiply
    38,454x = 82,658 × 82,658
  4. Step 4: Simplify right side
    38,454x = 6,832,344,964
  5. Step 5: Solve for x
    x = 6,832,344,964/38,454
  6. Step 6: Final answer
    x = 177,675.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.