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Finding the Third Proportional to 13,105.13 and 19,252.69

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Solution

The third proportional to 13,105.13 and 19,252.69 is: 28,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.13 : 19,252.69 = 19,252.69 : x
  2. Step 2: Convert to fraction form
    13,105.13/19,252.69 = 19,252.69/x
  3. Step 3: Cross multiply
    13,105.13x = 19,252.69 × 19,252.69
  4. Step 4: Simplify right side
    13,105.13x = 370,665,975.97
  5. Step 5: Solve for x
    x = 370,665,975.97/13,105.13
  6. Step 6: Final answer
    x = 28,284.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.