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Finding the Third Proportional to 26,991 and 55,048.50

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Solution

The third proportional to 26,991 and 55,048.50 is: 112,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,991 : 55,048.50 = 55,048.50 : x
  2. Step 2: Convert to fraction form
    26,991/55,048.50 = 55,048.50/x
  3. Step 3: Cross multiply
    26,991x = 55,048.50 × 55,048.50
  4. Step 4: Simplify right side
    26,991x = 3,030,337,352.25
  5. Step 5: Solve for x
    x = 3,030,337,352.25/26,991
  6. Step 6: Final answer
    x = 112,272.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.