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Finding the Third Proportional to 26,683.09 and 57,323.36

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Solution

The third proportional to 26,683.09 and 57,323.36 is: 123,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,683.09 : 57,323.36 = 57,323.36 : x
  2. Step 2: Convert to fraction form
    26,683.09/57,323.36 = 57,323.36/x
  3. Step 3: Cross multiply
    26,683.09x = 57,323.36 × 57,323.36
  4. Step 4: Simplify right side
    26,683.09x = 3,285,967,586.02
  5. Step 5: Solve for x
    x = 3,285,967,586.02/26,683.09
  6. Step 6: Final answer
    x = 123,147.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.