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Finding the Third Proportional to 6,413 and 14,087

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Solution

The third proportional to 6,413 and 14,087 is: 30,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413 : 14,087 = 14,087 : x
  2. Step 2: Convert to fraction form
    6,413/14,087 = 14,087/x
  3. Step 3: Cross multiply
    6,413x = 14,087 × 14,087
  4. Step 4: Simplify right side
    6,413x = 198,443,569
  5. Step 5: Solve for x
    x = 198,443,569/6,413
  6. Step 6: Final answer
    x = 30,943.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.