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Finding the Third Proportional to 9,253.69 and 14,313.09

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Solution

The third proportional to 9,253.69 and 14,313.09 is: 22,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.69 : 14,313.09 = 14,313.09 : x
  2. Step 2: Convert to fraction form
    9,253.69/14,313.09 = 14,313.09/x
  3. Step 3: Cross multiply
    9,253.69x = 14,313.09 × 14,313.09
  4. Step 4: Simplify right side
    9,253.69x = 204,864,652.70
  5. Step 5: Solve for x
    x = 204,864,652.70/9,253.69
  6. Step 6: Final answer
    x = 22,138.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.