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Finding the Third Proportional to 26,219.25 and 39,331.13

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Solution

The third proportional to 26,219.25 and 39,331.13 is: 59,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,219.25 : 39,331.13 = 39,331.13 : x
  2. Step 2: Convert to fraction form
    26,219.25/39,331.13 = 39,331.13/x
  3. Step 3: Cross multiply
    26,219.25x = 39,331.13 × 39,331.13
  4. Step 4: Simplify right side
    26,219.25x = 1,546,937,393.77
  5. Step 5: Solve for x
    x = 1,546,937,393.77/26,219.25
  6. Step 6: Final answer
    x = 59,000.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.