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Finding the Third Proportional to 26,957 and 40,810

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Solution

The third proportional to 26,957 and 40,810 is: 61,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957 : 40,810 = 40,810 : x
  2. Step 2: Convert to fraction form
    26,957/40,810 = 40,810/x
  3. Step 3: Cross multiply
    26,957x = 40,810 × 40,810
  4. Step 4: Simplify right side
    26,957x = 1,665,456,100
  5. Step 5: Solve for x
    x = 1,665,456,100/26,957
  6. Step 6: Final answer
    x = 61,781.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.