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Finding the Third Proportional to 41,706 and 52,838

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Solution

The third proportional to 41,706 and 52,838 is: 66,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706 : 52,838 = 52,838 : x
  2. Step 2: Convert to fraction form
    41,706/52,838 = 52,838/x
  3. Step 3: Cross multiply
    41,706x = 52,838 × 52,838
  4. Step 4: Simplify right side
    41,706x = 2,791,854,244
  5. Step 5: Solve for x
    x = 2,791,854,244/41,706
  6. Step 6: Final answer
    x = 66,941.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.