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Finding the Third Proportional to 34,726 and 52,838

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Solution

The third proportional to 34,726 and 52,838 is: 80,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,726 : 52,838 = 52,838 : x
  2. Step 2: Convert to fraction form
    34,726/52,838 = 52,838/x
  3. Step 3: Cross multiply
    34,726x = 52,838 × 52,838
  4. Step 4: Simplify right side
    34,726x = 2,791,854,244
  5. Step 5: Solve for x
    x = 2,791,854,244/34,726
  6. Step 6: Final answer
    x = 80,396.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.