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Finding the Third Proportional to 9,298.13 and 13,960.69

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Solution

The third proportional to 9,298.13 and 13,960.69 is: 20,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.13 : 13,960.69 = 13,960.69 : x
  2. Step 2: Convert to fraction form
    9,298.13/13,960.69 = 13,960.69/x
  3. Step 3: Cross multiply
    9,298.13x = 13,960.69 × 13,960.69
  4. Step 4: Simplify right side
    9,298.13x = 194,900,795.47
  5. Step 5: Solve for x
    x = 194,900,795.47/9,298.13
  6. Step 6: Final answer
    x = 20,961.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.