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Finding the Third Proportional to 38,462 and 82,492

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Solution

The third proportional to 38,462 and 82,492 is: 176,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462 : 82,492 = 82,492 : x
  2. Step 2: Convert to fraction form
    38,462/82,492 = 82,492/x
  3. Step 3: Cross multiply
    38,462x = 82,492 × 82,492
  4. Step 4: Simplify right side
    38,462x = 6,804,930,064
  5. Step 5: Solve for x
    x = 6,804,930,064/38,462
  6. Step 6: Final answer
    x = 176,926.06

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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.