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Finding the Third Proportional to 5,839.59 and 12,317.06

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Solution

The third proportional to 5,839.59 and 12,317.06 is: 25,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.59 : 12,317.06 = 12,317.06 : x
  2. Step 2: Convert to fraction form
    5,839.59/12,317.06 = 12,317.06/x
  3. Step 3: Cross multiply
    5,839.59x = 12,317.06 × 12,317.06
  4. Step 4: Simplify right side
    5,839.59x = 151,710,028.63
  5. Step 5: Solve for x
    x = 151,710,028.63/5,839.59
  6. Step 6: Final answer
    x = 25,979.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.