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Finding the Third Proportional to 9,279.56 and 14,788.83

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Solution

The third proportional to 9,279.56 and 14,788.83 is: 23,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.56 : 14,788.83 = 14,788.83 : x
  2. Step 2: Convert to fraction form
    9,279.56/14,788.83 = 14,788.83/x
  3. Step 3: Cross multiply
    9,279.56x = 14,788.83 × 14,788.83
  4. Step 4: Simplify right side
    9,279.56x = 218,709,437.31
  5. Step 5: Solve for x
    x = 218,709,437.31/9,279.56
  6. Step 6: Final answer
    x = 23,568.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.