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Finding the Third Proportional to 8,313.38 and 12,145.88

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Solution

The third proportional to 8,313.38 and 12,145.88 is: 17,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.38 : 12,145.88 = 12,145.88 : x
  2. Step 2: Convert to fraction form
    8,313.38/12,145.88 = 12,145.88/x
  3. Step 3: Cross multiply
    8,313.38x = 12,145.88 × 12,145.88
  4. Step 4: Simplify right side
    8,313.38x = 147,522,279.52
  5. Step 5: Solve for x
    x = 147,522,279.52/8,313.38
  6. Step 6: Final answer
    x = 17,745.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.