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Finding the Third Proportional to 13,726 and 19,435

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Solution

The third proportional to 13,726 and 19,435 is: 27,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726 : 19,435 = 19,435 : x
  2. Step 2: Convert to fraction form
    13,726/19,435 = 19,435/x
  3. Step 3: Cross multiply
    13,726x = 19,435 × 19,435
  4. Step 4: Simplify right side
    13,726x = 377,719,225
  5. Step 5: Solve for x
    x = 377,719,225/13,726
  6. Step 6: Final answer
    x = 27,518.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.