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Finding the Third Proportional to 29,940.26 and 65,484.70

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Solution

The third proportional to 29,940.26 and 65,484.70 is: 143,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,940.26 : 65,484.70 = 65,484.70 : x
  2. Step 2: Convert to fraction form
    29,940.26/65,484.70 = 65,484.70/x
  3. Step 3: Cross multiply
    29,940.26x = 65,484.70 × 65,484.70
  4. Step 4: Simplify right side
    29,940.26x = 4,288,246,343.37
  5. Step 5: Solve for x
    x = 4,288,246,343.37/29,940.26
  6. Step 6: Final answer
    x = 143,226.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.