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Finding the Third Proportional to 29,782.69 and 43,762.78

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Solution

The third proportional to 29,782.69 and 43,762.78 is: 64,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.69 : 43,762.78 = 43,762.78 : x
  2. Step 2: Convert to fraction form
    29,782.69/43,762.78 = 43,762.78/x
  3. Step 3: Cross multiply
    29,782.69x = 43,762.78 × 43,762.78
  4. Step 4: Simplify right side
    29,782.69x = 1,915,181,022.74
  5. Step 5: Solve for x
    x = 1,915,181,022.74/29,782.69
  6. Step 6: Final answer
    x = 64,305.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.