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Finding the Third Proportional to 12,904.88 and 19,944.13

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Solution

The third proportional to 12,904.88 and 19,944.13 is: 30,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.88 : 19,944.13 = 19,944.13 : x
  2. Step 2: Convert to fraction form
    12,904.88/19,944.13 = 19,944.13/x
  3. Step 3: Cross multiply
    12,904.88x = 19,944.13 × 19,944.13
  4. Step 4: Simplify right side
    12,904.88x = 397,768,122.02
  5. Step 5: Solve for x
    x = 397,768,122.02/12,904.88
  6. Step 6: Final answer
    x = 30,823.09

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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.