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Finding the Third Proportional to 26,084 and 39,026

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Solution

The third proportional to 26,084 and 39,026 is: 58,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 39,026 = 39,026 : x
  2. Step 2: Convert to fraction form
    26,084/39,026 = 39,026/x
  3. Step 3: Cross multiply
    26,084x = 39,026 × 39,026
  4. Step 4: Simplify right side
    26,084x = 1,523,028,676
  5. Step 5: Solve for x
    x = 1,523,028,676/26,084
  6. Step 6: Final answer
    x = 58,389.38

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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.