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Finding the Third Proportional to 13,396 and 19,135

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Solution

The third proportional to 13,396 and 19,135 is: 27,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396 : 19,135 = 19,135 : x
  2. Step 2: Convert to fraction form
    13,396/19,135 = 19,135/x
  3. Step 3: Cross multiply
    13,396x = 19,135 × 19,135
  4. Step 4: Simplify right side
    13,396x = 366,148,225
  5. Step 5: Solve for x
    x = 366,148,225/13,396
  6. Step 6: Final answer
    x = 27,332.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.