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Finding the Third Proportional to 38,704 and 79,047

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Solution

The third proportional to 38,704 and 79,047 is: 161,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704 : 79,047 = 79,047 : x
  2. Step 2: Convert to fraction form
    38,704/79,047 = 79,047/x
  3. Step 3: Cross multiply
    38,704x = 79,047 × 79,047
  4. Step 4: Simplify right side
    38,704x = 6,248,428,209
  5. Step 5: Solve for x
    x = 6,248,428,209/38,704
  6. Step 6: Final answer
    x = 161,441.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.