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Finding the Third Proportional to 26,001 and 56,322

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Solution

The third proportional to 26,001 and 56,322 is: 122,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001 : 56,322 = 56,322 : x
  2. Step 2: Convert to fraction form
    26,001/56,322 = 56,322/x
  3. Step 3: Cross multiply
    26,001x = 56,322 × 56,322
  4. Step 4: Simplify right side
    26,001x = 3,172,167,684
  5. Step 5: Solve for x
    x = 3,172,167,684/26,001
  6. Step 6: Final answer
    x = 122,001.76

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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.