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Finding the Third Proportional to 29,771.30 and 65,374.59

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Solution

The third proportional to 29,771.30 and 65,374.59 is: 143,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.30 : 65,374.59 = 65,374.59 : x
  2. Step 2: Convert to fraction form
    29,771.30/65,374.59 = 65,374.59/x
  3. Step 3: Cross multiply
    29,771.30x = 65,374.59 × 65,374.59
  4. Step 4: Simplify right side
    29,771.30x = 4,273,837,507.98
  5. Step 5: Solve for x
    x = 4,273,837,507.98/29,771.30
  6. Step 6: Final answer
    x = 143,555.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.