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Finding the Third Proportional to 19,429.59 and 41,921.72

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Solution

The third proportional to 19,429.59 and 41,921.72 is: 90,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429.59 : 41,921.72 = 41,921.72 : x
  2. Step 2: Convert to fraction form
    19,429.59/41,921.72 = 41,921.72/x
  3. Step 3: Cross multiply
    19,429.59x = 41,921.72 × 41,921.72
  4. Step 4: Simplify right side
    19,429.59x = 1,757,430,502.95
  5. Step 5: Solve for x
    x = 1,757,430,502.95/19,429.59
  6. Step 6: Final answer
    x = 90,451.22

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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.