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Finding the Third Proportional to 26,013.50 and 55,266.50

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Solution

The third proportional to 26,013.50 and 55,266.50 is: 117,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,013.50 : 55,266.50 = 55,266.50 : x
  2. Step 2: Convert to fraction form
    26,013.50/55,266.50 = 55,266.50/x
  3. Step 3: Cross multiply
    26,013.50x = 55,266.50 × 55,266.50
  4. Step 4: Simplify right side
    26,013.50x = 3,054,386,022.25
  5. Step 5: Solve for x
    x = 3,054,386,022.25/26,013.50
  6. Step 6: Final answer
    x = 117,415.42

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