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Finding the Third Proportional to 19,980.42 and 43,073.65

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Solution

The third proportional to 19,980.42 and 43,073.65 is: 92,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.42 : 43,073.65 = 43,073.65 : x
  2. Step 2: Convert to fraction form
    19,980.42/43,073.65 = 43,073.65/x
  3. Step 3: Cross multiply
    19,980.42x = 43,073.65 × 43,073.65
  4. Step 4: Simplify right side
    19,980.42x = 1,855,339,189.72
  5. Step 5: Solve for x
    x = 1,855,339,189.72/19,980.42
  6. Step 6: Final answer
    x = 92,857.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.