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Finding the Third Proportional to 26,856 and 56,414.25

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Solution

The third proportional to 26,856 and 56,414.25 is: 118,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856 : 56,414.25 = 56,414.25 : x
  2. Step 2: Convert to fraction form
    26,856/56,414.25 = 56,414.25/x
  3. Step 3: Cross multiply
    26,856x = 56,414.25 × 56,414.25
  4. Step 4: Simplify right side
    26,856x = 3,182,567,603.06
  5. Step 5: Solve for x
    x = 3,182,567,603.06/26,856
  6. Step 6: Final answer
    x = 118,504.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.