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Finding the Third Proportional to 26,963.44 and 40,822.31

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Solution

The third proportional to 26,963.44 and 40,822.31 is: 61,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963.44 : 40,822.31 = 40,822.31 : x
  2. Step 2: Convert to fraction form
    26,963.44/40,822.31 = 40,822.31/x
  3. Step 3: Cross multiply
    26,963.44x = 40,822.31 × 40,822.31
  4. Step 4: Simplify right side
    26,963.44x = 1,666,461,197.85
  5. Step 5: Solve for x
    x = 1,666,461,197.85/26,963.44
  6. Step 6: Final answer
    x = 61,804.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.