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Finding the Third Proportional to 29,727.50 and 43,524.75

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Solution

The third proportional to 29,727.50 and 43,524.75 is: 63,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727.50 : 43,524.75 = 43,524.75 : x
  2. Step 2: Convert to fraction form
    29,727.50/43,524.75 = 43,524.75/x
  3. Step 3: Cross multiply
    29,727.50x = 43,524.75 × 43,524.75
  4. Step 4: Simplify right side
    29,727.50x = 1,894,403,862.56
  5. Step 5: Solve for x
    x = 1,894,403,862.56/29,727.50
  6. Step 6: Final answer
    x = 63,725.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.