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Finding the Third Proportional to 41,011 and 53,850

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Solution

The third proportional to 41,011 and 53,850 is: 70,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,011 : 53,850 = 53,850 : x
  2. Step 2: Convert to fraction form
    41,011/53,850 = 53,850/x
  3. Step 3: Cross multiply
    41,011x = 53,850 × 53,850
  4. Step 4: Simplify right side
    41,011x = 2,899,822,500
  5. Step 5: Solve for x
    x = 2,899,822,500/41,011
  6. Step 6: Final answer
    x = 70,708.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.