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Finding the Third Proportional to 6,415 and 14,089

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Solution

The third proportional to 6,415 and 14,089 is: 30,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 14,089 = 14,089 : x
  2. Step 2: Convert to fraction form
    6,415/14,089 = 14,089/x
  3. Step 3: Cross multiply
    6,415x = 14,089 × 14,089
  4. Step 4: Simplify right side
    6,415x = 198,499,921
  5. Step 5: Solve for x
    x = 198,499,921/6,415
  6. Step 6: Final answer
    x = 30,943.09

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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.