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Finding the Third Proportional to 26,635.50 and 55,822.50

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Solution

The third proportional to 26,635.50 and 55,822.50 is: 116,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,635.50 : 55,822.50 = 55,822.50 : x
  2. Step 2: Convert to fraction form
    26,635.50/55,822.50 = 55,822.50/x
  3. Step 3: Cross multiply
    26,635.50x = 55,822.50 × 55,822.50
  4. Step 4: Simplify right side
    26,635.50x = 3,116,151,506.25
  5. Step 5: Solve for x
    x = 3,116,151,506.25/26,635.50
  6. Step 6: Final answer
    x = 116,992.42

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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.