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Finding the Third Proportional to 26,140 and 39,269

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Solution

The third proportional to 26,140 and 39,269 is: 58,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,140 : 39,269 = 39,269 : x
  2. Step 2: Convert to fraction form
    26,140/39,269 = 39,269/x
  3. Step 3: Cross multiply
    26,140x = 39,269 × 39,269
  4. Step 4: Simplify right side
    26,140x = 1,542,054,361
  5. Step 5: Solve for x
    x = 1,542,054,361/26,140
  6. Step 6: Final answer
    x = 58,992.13

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