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Finding the Third Proportional to 20,013 and 26,724

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Solution

The third proportional to 20,013 and 26,724 is: 35,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 26,724 = 26,724 : x
  2. Step 2: Convert to fraction form
    20,013/26,724 = 26,724/x
  3. Step 3: Cross multiply
    20,013x = 26,724 × 26,724
  4. Step 4: Simplify right side
    20,013x = 714,172,176
  5. Step 5: Solve for x
    x = 714,172,176/20,013
  6. Step 6: Final answer
    x = 35,685.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.