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Finding the Third Proportional to 29,759.91 and 40,417.73

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Solution

The third proportional to 29,759.91 and 40,417.73 is: 54,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,759.91 : 40,417.73 = 40,417.73 : x
  2. Step 2: Convert to fraction form
    29,759.91/40,417.73 = 40,417.73/x
  3. Step 3: Cross multiply
    29,759.91x = 40,417.73 × 40,417.73
  4. Step 4: Simplify right side
    29,759.91x = 1,633,593,252.01
  5. Step 5: Solve for x
    x = 1,633,593,252.01/29,759.91
  6. Step 6: Final answer
    x = 54,892.42

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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.