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Finding the Third Proportional to 29,744.72 and 40,505.06

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Solution

The third proportional to 29,744.72 and 40,505.06 is: 55,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744.72 : 40,505.06 = 40,505.06 : x
  2. Step 2: Convert to fraction form
    29,744.72/40,505.06 = 40,505.06/x
  3. Step 3: Cross multiply
    29,744.72x = 40,505.06 × 40,505.06
  4. Step 4: Simplify right side
    29,744.72x = 1,640,660,088.13
  5. Step 5: Solve for x
    x = 1,640,660,088.13/29,744.72
  6. Step 6: Final answer
    x = 55,158.03

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