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Finding the Third Proportional to 20,164 and 26,358

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Solution

The third proportional to 20,164 and 26,358 is: 34,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 26,358 = 26,358 : x
  2. Step 2: Convert to fraction form
    20,164/26,358 = 26,358/x
  3. Step 3: Cross multiply
    20,164x = 26,358 × 26,358
  4. Step 4: Simplify right side
    20,164x = 694,744,164
  5. Step 5: Solve for x
    x = 694,744,164/20,164
  6. Step 6: Final answer
    x = 34,454.68

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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.