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Finding the Third Proportional to 26,288 and 56,268

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Solution

The third proportional to 26,288 and 56,268 is: 120,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,288 : 56,268 = 56,268 : x
  2. Step 2: Convert to fraction form
    26,288/56,268 = 56,268/x
  3. Step 3: Cross multiply
    26,288x = 56,268 × 56,268
  4. Step 4: Simplify right side
    26,288x = 3,166,087,824
  5. Step 5: Solve for x
    x = 3,166,087,824/26,288
  6. Step 6: Final answer
    x = 120,438.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.