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Finding the Third Proportional to 19,857.75 and 29,324.63

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Solution

The third proportional to 19,857.75 and 29,324.63 is: 43,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.75 : 29,324.63 = 29,324.63 : x
  2. Step 2: Convert to fraction form
    19,857.75/29,324.63 = 29,324.63/x
  3. Step 3: Cross multiply
    19,857.75x = 29,324.63 × 29,324.63
  4. Step 4: Simplify right side
    19,857.75x = 859,933,631.39
  5. Step 5: Solve for x
    x = 859,933,631.39/19,857.75
  6. Step 6: Final answer
    x = 43,304.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.