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Finding the Third Proportional to 19,431.75 and 29,711.44

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Solution

The third proportional to 19,431.75 and 29,711.44 is: 45,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.75 : 29,711.44 = 29,711.44 : x
  2. Step 2: Convert to fraction form
    19,431.75/29,711.44 = 29,711.44/x
  3. Step 3: Cross multiply
    19,431.75x = 29,711.44 × 29,711.44
  4. Step 4: Simplify right side
    19,431.75x = 882,769,518.32
  5. Step 5: Solve for x
    x = 882,769,518.32/19,431.75
  6. Step 6: Final answer
    x = 45,429.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.