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Finding the Third Proportional to 19,631.50 and 29,857

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Solution

The third proportional to 19,631.50 and 29,857 is: 45,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,631.50 : 29,857 = 29,857 : x
  2. Step 2: Convert to fraction form
    19,631.50/29,857 = 29,857/x
  3. Step 3: Cross multiply
    19,631.50x = 29,857 × 29,857
  4. Step 4: Simplify right side
    19,631.50x = 891,440,449
  5. Step 5: Solve for x
    x = 891,440,449/19,631.50
  6. Step 6: Final answer
    x = 45,408.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.