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Finding the Third Proportional to 26,003.25 and 39,188.25

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Solution

The third proportional to 26,003.25 and 39,188.25 is: 59,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,003.25 : 39,188.25 = 39,188.25 : x
  2. Step 2: Convert to fraction form
    26,003.25/39,188.25 = 39,188.25/x
  3. Step 3: Cross multiply
    26,003.25x = 39,188.25 × 39,188.25
  4. Step 4: Simplify right side
    26,003.25x = 1,535,718,938.06
  5. Step 5: Solve for x
    x = 1,535,718,938.06/26,003.25
  6. Step 6: Final answer
    x = 59,058.73

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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.