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Finding the Third Proportional to 26,115 and 39,230.25

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Solution

The third proportional to 26,115 and 39,230.25 is: 58,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115 : 39,230.25 = 39,230.25 : x
  2. Step 2: Convert to fraction form
    26,115/39,230.25 = 39,230.25/x
  3. Step 3: Cross multiply
    26,115x = 39,230.25 × 39,230.25
  4. Step 4: Simplify right side
    26,115x = 1,539,012,515.06
  5. Step 5: Solve for x
    x = 1,539,012,515.06/26,115
  6. Step 6: Final answer
    x = 58,932.13

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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.