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Finding the Third Proportional to 14,493 and 19,413

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Solution

The third proportional to 14,493 and 19,413 is: 26,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493 : 19,413 = 19,413 : x
  2. Step 2: Convert to fraction form
    14,493/19,413 = 19,413/x
  3. Step 3: Cross multiply
    14,493x = 19,413 × 19,413
  4. Step 4: Simplify right side
    14,493x = 376,864,569
  5. Step 5: Solve for x
    x = 376,864,569/14,493
  6. Step 6: Final answer
    x = 26,003.21

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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.