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Finding the Third Proportional to 22,960 and 26,864

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Solution

The third proportional to 22,960 and 26,864 is: 31,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960 : 26,864 = 26,864 : x
  2. Step 2: Convert to fraction form
    22,960/26,864 = 26,864/x
  3. Step 3: Cross multiply
    22,960x = 26,864 × 26,864
  4. Step 4: Simplify right side
    22,960x = 721,674,496
  5. Step 5: Solve for x
    x = 721,674,496/22,960
  6. Step 6: Final answer
    x = 31,431.82

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.