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Finding the Third Proportional to 29,729.53 and 40,767.05

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Solution

The third proportional to 29,729.53 and 40,767.05 is: 55,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.53 : 40,767.05 = 40,767.05 : x
  2. Step 2: Convert to fraction form
    29,729.53/40,767.05 = 40,767.05/x
  3. Step 3: Cross multiply
    29,729.53x = 40,767.05 × 40,767.05
  4. Step 4: Simplify right side
    29,729.53x = 1,661,952,110.91
  5. Step 5: Solve for x
    x = 1,661,952,110.91/29,729.53
  6. Step 6: Final answer
    x = 55,902.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.