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Finding the Third Proportional to 5,993.13 and 12,605.39

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Solution

The third proportional to 5,993.13 and 12,605.39 is: 26,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.13 : 12,605.39 = 12,605.39 : x
  2. Step 2: Convert to fraction form
    5,993.13/12,605.39 = 12,605.39/x
  3. Step 3: Cross multiply
    5,993.13x = 12,605.39 × 12,605.39
  4. Step 4: Simplify right side
    5,993.13x = 158,895,798.95
  5. Step 5: Solve for x
    x = 158,895,798.95/5,993.13
  6. Step 6: Final answer
    x = 26,512.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.