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Finding the Third Proportional to 5,979.56 and 13,052.06

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Solution

The third proportional to 5,979.56 and 13,052.06 is: 28,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.56 : 13,052.06 = 13,052.06 : x
  2. Step 2: Convert to fraction form
    5,979.56/13,052.06 = 13,052.06/x
  3. Step 3: Cross multiply
    5,979.56x = 13,052.06 × 13,052.06
  4. Step 4: Simplify right side
    5,979.56x = 170,356,335.50
  5. Step 5: Solve for x
    x = 170,356,335.50/5,979.56
  6. Step 6: Final answer
    x = 28,489.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.