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Finding the Third Proportional to 20,513 and 26,934

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Solution

The third proportional to 20,513 and 26,934 is: 35,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513 : 26,934 = 26,934 : x
  2. Step 2: Convert to fraction form
    20,513/26,934 = 26,934/x
  3. Step 3: Cross multiply
    20,513x = 26,934 × 26,934
  4. Step 4: Simplify right side
    20,513x = 725,440,356
  5. Step 5: Solve for x
    x = 725,440,356/20,513
  6. Step 6: Final answer
    x = 35,364.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.