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Finding the Third Proportional to 19,765.69 and 31,408.17

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Solution

The third proportional to 19,765.69 and 31,408.17 is: 49,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.69 : 31,408.17 = 31,408.17 : x
  2. Step 2: Convert to fraction form
    19,765.69/31,408.17 = 31,408.17/x
  3. Step 3: Cross multiply
    19,765.69x = 31,408.17 × 31,408.17
  4. Step 4: Simplify right side
    19,765.69x = 986,473,260.53
  5. Step 5: Solve for x
    x = 986,473,260.53/19,765.69
  6. Step 6: Final answer
    x = 49,908.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.