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Finding the Third Proportional to 38,705 and 79,051

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Solution

The third proportional to 38,705 and 79,051 is: 161,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705 : 79,051 = 79,051 : x
  2. Step 2: Convert to fraction form
    38,705/79,051 = 79,051/x
  3. Step 3: Cross multiply
    38,705x = 79,051 × 79,051
  4. Step 4: Simplify right side
    38,705x = 6,249,060,601
  5. Step 5: Solve for x
    x = 6,249,060,601/38,705
  6. Step 6: Final answer
    x = 161,453.57

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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.