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Finding the Third Proportional to 20,710 and 26,601

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Solution

The third proportional to 20,710 and 26,601 is: 34,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 26,601 = 26,601 : x
  2. Step 2: Convert to fraction form
    20,710/26,601 = 26,601/x
  3. Step 3: Cross multiply
    20,710x = 26,601 × 26,601
  4. Step 4: Simplify right side
    20,710x = 707,613,201
  5. Step 5: Solve for x
    x = 707,613,201/20,710
  6. Step 6: Final answer
    x = 34,167.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.