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Finding the Third Proportional to 38,479 and 82,433

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Solution

The third proportional to 38,479 and 82,433 is: 176,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,479 : 82,433 = 82,433 : x
  2. Step 2: Convert to fraction form
    38,479/82,433 = 82,433/x
  3. Step 3: Cross multiply
    38,479x = 82,433 × 82,433
  4. Step 4: Simplify right side
    38,479x = 6,795,199,489
  5. Step 5: Solve for x
    x = 6,795,199,489/38,479
  6. Step 6: Final answer
    x = 176,595.01

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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.