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Finding the Third Proportional to 26,039 and 38,995

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Solution

The third proportional to 26,039 and 38,995 is: 58,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,039 : 38,995 = 38,995 : x
  2. Step 2: Convert to fraction form
    26,039/38,995 = 38,995/x
  3. Step 3: Cross multiply
    26,039x = 38,995 × 38,995
  4. Step 4: Simplify right side
    26,039x = 1,520,610,025
  5. Step 5: Solve for x
    x = 1,520,610,025/26,039
  6. Step 6: Final answer
    x = 58,397.40

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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.