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Finding the Third Proportional to 13,209.75 and 19,234.13

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Solution

The third proportional to 13,209.75 and 19,234.13 is: 28,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.75 : 19,234.13 = 19,234.13 : x
  2. Step 2: Convert to fraction form
    13,209.75/19,234.13 = 19,234.13/x
  3. Step 3: Cross multiply
    13,209.75x = 19,234.13 × 19,234.13
  4. Step 4: Simplify right side
    13,209.75x = 369,951,564.52
  5. Step 5: Solve for x
    x = 369,951,564.52/13,209.75
  6. Step 6: Final answer
    x = 28,005.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.