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Finding the Third Proportional to 12,442.25 and 19,267.38

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Solution

The third proportional to 12,442.25 and 19,267.38 is: 29,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.25 : 19,267.38 = 19,267.38 : x
  2. Step 2: Convert to fraction form
    12,442.25/19,267.38 = 19,267.38/x
  3. Step 3: Cross multiply
    12,442.25x = 19,267.38 × 19,267.38
  4. Step 4: Simplify right side
    12,442.25x = 371,231,739.39
  5. Step 5: Solve for x
    x = 371,231,739.39/12,442.25
  6. Step 6: Final answer
    x = 29,836.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.