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Finding the Third Proportional to 6,415 and 13,837

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Solution

The third proportional to 6,415 and 13,837 is: 29,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 13,837 = 13,837 : x
  2. Step 2: Convert to fraction form
    6,415/13,837 = 13,837/x
  3. Step 3: Cross multiply
    6,415x = 13,837 × 13,837
  4. Step 4: Simplify right side
    6,415x = 191,462,569
  5. Step 5: Solve for x
    x = 191,462,569/6,415
  6. Step 6: Final answer
    x = 29,846.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.