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Finding the Third Proportional to 12,014.97 and 26,344.38

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Solution

The third proportional to 12,014.97 and 26,344.38 is: 57,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.97 : 26,344.38 = 26,344.38 : x
  2. Step 2: Convert to fraction form
    12,014.97/26,344.38 = 26,344.38/x
  3. Step 3: Cross multiply
    12,014.97x = 26,344.38 × 26,344.38
  4. Step 4: Simplify right side
    12,014.97x = 694,026,351.41
  5. Step 5: Solve for x
    x = 694,026,351.41/12,014.97
  6. Step 6: Final answer
    x = 57,763.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.