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Finding the Third Proportional to 6,584 and 14,456

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Solution

The third proportional to 6,584 and 14,456 is: 31,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 14,456 = 14,456 : x
  2. Step 2: Convert to fraction form
    6,584/14,456 = 14,456/x
  3. Step 3: Cross multiply
    6,584x = 14,456 × 14,456
  4. Step 4: Simplify right side
    6,584x = 208,975,936
  5. Step 5: Solve for x
    x = 208,975,936/6,584
  6. Step 6: Final answer
    x = 31,739.97

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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.