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Finding the Third Proportional to 12,808.38 and 19,601.25

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Solution

The third proportional to 12,808.38 and 19,601.25 is: 29,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.38 : 19,601.25 = 19,601.25 : x
  2. Step 2: Convert to fraction form
    12,808.38/19,601.25 = 19,601.25/x
  3. Step 3: Cross multiply
    12,808.38x = 19,601.25 × 19,601.25
  4. Step 4: Simplify right side
    12,808.38x = 384,209,001.56
  5. Step 5: Solve for x
    x = 384,209,001.56/12,808.38
  6. Step 6: Final answer
    x = 29,996.70

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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.