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Finding the Third Proportional to 26,993 and 43,124.50

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Solution

The third proportional to 26,993 and 43,124.50 is: 68,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,993 : 43,124.50 = 43,124.50 : x
  2. Step 2: Convert to fraction form
    26,993/43,124.50 = 43,124.50/x
  3. Step 3: Cross multiply
    26,993x = 43,124.50 × 43,124.50
  4. Step 4: Simplify right side
    26,993x = 1,859,722,500.25
  5. Step 5: Solve for x
    x = 1,859,722,500.25/26,993
  6. Step 6: Final answer
    x = 68,896.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.