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Finding the Third Proportional to 26,969 and 39,571

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Solution

The third proportional to 26,969 and 39,571 is: 58,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969 : 39,571 = 39,571 : x
  2. Step 2: Convert to fraction form
    26,969/39,571 = 39,571/x
  3. Step 3: Cross multiply
    26,969x = 39,571 × 39,571
  4. Step 4: Simplify right side
    26,969x = 1,565,864,041
  5. Step 5: Solve for x
    x = 1,565,864,041/26,969
  6. Step 6: Final answer
    x = 58,061.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.