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Finding the Third Proportional to 29,554.88 and 41,568.19

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Solution

The third proportional to 29,554.88 and 41,568.19 is: 58,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,554.88 : 41,568.19 = 41,568.19 : x
  2. Step 2: Convert to fraction form
    29,554.88/41,568.19 = 41,568.19/x
  3. Step 3: Cross multiply
    29,554.88x = 41,568.19 × 41,568.19
  4. Step 4: Simplify right side
    29,554.88x = 1,727,914,212.04
  5. Step 5: Solve for x
    x = 1,727,914,212.04/29,554.88
  6. Step 6: Final answer
    x = 58,464.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.