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Finding the Third Proportional to 21,424.50 and 34,212.38

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Solution

The third proportional to 21,424.50 and 34,212.38 is: 54,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.50 : 34,212.38 = 34,212.38 : x
  2. Step 2: Convert to fraction form
    21,424.50/34,212.38 = 34,212.38/x
  3. Step 3: Cross multiply
    21,424.50x = 34,212.38 × 34,212.38
  4. Step 4: Simplify right side
    21,424.50x = 1,170,486,603.14
  5. Step 5: Solve for x
    x = 1,170,486,603.14/21,424.50
  6. Step 6: Final answer
    x = 54,633.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.