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Finding the Third Proportional to 13,086 and 19,206

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Solution

The third proportional to 13,086 and 19,206 is: 28,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 19,206 = 19,206 : x
  2. Step 2: Convert to fraction form
    13,086/19,206 = 19,206/x
  3. Step 3: Cross multiply
    13,086x = 19,206 × 19,206
  4. Step 4: Simplify right side
    13,086x = 368,870,436
  5. Step 5: Solve for x
    x = 368,870,436/13,086
  6. Step 6: Final answer
    x = 28,188.17

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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.