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Finding the Third Proportional to 26,391 and 38,721

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Solution

The third proportional to 26,391 and 38,721 is: 56,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,391 : 38,721 = 38,721 : x
  2. Step 2: Convert to fraction form
    26,391/38,721 = 38,721/x
  3. Step 3: Cross multiply
    26,391x = 38,721 × 38,721
  4. Step 4: Simplify right side
    26,391x = 1,499,315,841
  5. Step 5: Solve for x
    x = 1,499,315,841/26,391
  6. Step 6: Final answer
    x = 56,811.63

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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.