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Finding the Third Proportional to 11,489.34 and 17,568.14

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Solution

The third proportional to 11,489.34 and 17,568.14 is: 26,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.34 : 17,568.14 = 17,568.14 : x
  2. Step 2: Convert to fraction form
    11,489.34/17,568.14 = 17,568.14/x
  3. Step 3: Cross multiply
    11,489.34x = 17,568.14 × 17,568.14
  4. Step 4: Simplify right side
    11,489.34x = 308,639,565.02
  5. Step 5: Solve for x
    x = 308,639,565.02/11,489.34
  6. Step 6: Final answer
    x = 26,863.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.