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Finding the Third Proportional to 41,011 and 64,250

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Solution

The third proportional to 41,011 and 64,250 is: 100,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,011 : 64,250 = 64,250 : x
  2. Step 2: Convert to fraction form
    41,011/64,250 = 64,250/x
  3. Step 3: Cross multiply
    41,011x = 64,250 × 64,250
  4. Step 4: Simplify right side
    41,011x = 4,128,062,500
  5. Step 5: Solve for x
    x = 4,128,062,500/41,011
  6. Step 6: Final answer
    x = 100,657.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.