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Finding the Third Proportional to 26,852 and 56,904

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Solution

The third proportional to 26,852 and 56,904 is: 120,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852 : 56,904 = 56,904 : x
  2. Step 2: Convert to fraction form
    26,852/56,904 = 56,904/x
  3. Step 3: Cross multiply
    26,852x = 56,904 × 56,904
  4. Step 4: Simplify right side
    26,852x = 3,238,065,216
  5. Step 5: Solve for x
    x = 3,238,065,216/26,852
  6. Step 6: Final answer
    x = 120,589.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.