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Finding the Third Proportional to 14,837 and 19,819

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Solution

The third proportional to 14,837 and 19,819 is: 26,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837 : 19,819 = 19,819 : x
  2. Step 2: Convert to fraction form
    14,837/19,819 = 19,819/x
  3. Step 3: Cross multiply
    14,837x = 19,819 × 19,819
  4. Step 4: Simplify right side
    14,837x = 392,792,761
  5. Step 5: Solve for x
    x = 392,792,761/14,837
  6. Step 6: Final answer
    x = 26,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.