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Finding the Third Proportional to 13,719 and 14,911

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Solution

The third proportional to 13,719 and 14,911 is: 16,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719 : 14,911 = 14,911 : x
  2. Step 2: Convert to fraction form
    13,719/14,911 = 14,911/x
  3. Step 3: Cross multiply
    13,719x = 14,911 × 14,911
  4. Step 4: Simplify right side
    13,719x = 222,337,921
  5. Step 5: Solve for x
    x = 222,337,921/13,719
  6. Step 6: Final answer
    x = 16,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.