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Finding the Third Proportional to 38,705 and 79,050

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Solution

The third proportional to 38,705 and 79,050 is: 161,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705 : 79,050 = 79,050 : x
  2. Step 2: Convert to fraction form
    38,705/79,050 = 79,050/x
  3. Step 3: Cross multiply
    38,705x = 79,050 × 79,050
  4. Step 4: Simplify right side
    38,705x = 6,248,902,500
  5. Step 5: Solve for x
    x = 6,248,902,500/38,705
  6. Step 6: Final answer
    x = 161,449.49

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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.