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Finding the Third Proportional to 26,164 and 56,672

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Solution

The third proportional to 26,164 and 56,672 is: 122,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164 : 56,672 = 56,672 : x
  2. Step 2: Convert to fraction form
    26,164/56,672 = 56,672/x
  3. Step 3: Cross multiply
    26,164x = 56,672 × 56,672
  4. Step 4: Simplify right side
    26,164x = 3,211,715,584
  5. Step 5: Solve for x
    x = 3,211,715,584/26,164
  6. Step 6: Final answer
    x = 122,753.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.