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Finding the Third Proportional to 36,957 and 81,069

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Solution

The third proportional to 36,957 and 81,069 is: 177,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,957 : 81,069 = 81,069 : x
  2. Step 2: Convert to fraction form
    36,957/81,069 = 81,069/x
  3. Step 3: Cross multiply
    36,957x = 81,069 × 81,069
  4. Step 4: Simplify right side
    36,957x = 6,572,182,761
  5. Step 5: Solve for x
    x = 6,572,182,761/36,957
  6. Step 6: Final answer
    x = 177,833.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.