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Finding the Third Proportional to 29,760.75 and 40,418.63

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Solution

The third proportional to 29,760.75 and 40,418.63 is: 54,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760.75 : 40,418.63 = 40,418.63 : x
  2. Step 2: Convert to fraction form
    29,760.75/40,418.63 = 40,418.63/x
  3. Step 3: Cross multiply
    29,760.75x = 40,418.63 × 40,418.63
  4. Step 4: Simplify right side
    29,760.75x = 1,633,665,246.89
  5. Step 5: Solve for x
    x = 1,633,665,246.89/29,760.75
  6. Step 6: Final answer
    x = 54,893.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.