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Finding the Third Proportional to 22,668 and 35,013

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Solution

The third proportional to 22,668 and 35,013 is: 54,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668 : 35,013 = 35,013 : x
  2. Step 2: Convert to fraction form
    22,668/35,013 = 35,013/x
  3. Step 3: Cross multiply
    22,668x = 35,013 × 35,013
  4. Step 4: Simplify right side
    22,668x = 1,225,910,169
  5. Step 5: Solve for x
    x = 1,225,910,169/22,668
  6. Step 6: Final answer
    x = 54,081.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.