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Finding the Third Proportional to 41,800 and 64,012

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Solution

The third proportional to 41,800 and 64,012 is: 98,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800 : 64,012 = 64,012 : x
  2. Step 2: Convert to fraction form
    41,800/64,012 = 64,012/x
  3. Step 3: Cross multiply
    41,800x = 64,012 × 64,012
  4. Step 4: Simplify right side
    41,800x = 4,097,536,144
  5. Step 5: Solve for x
    x = 4,097,536,144/41,800
  6. Step 6: Final answer
    x = 98,027.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.