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Finding the Third Proportional to 6,591 and 14,106

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Solution

The third proportional to 6,591 and 14,106 is: 30,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 14,106 = 14,106 : x
  2. Step 2: Convert to fraction form
    6,591/14,106 = 14,106/x
  3. Step 3: Cross multiply
    6,591x = 14,106 × 14,106
  4. Step 4: Simplify right side
    6,591x = 198,979,236
  5. Step 5: Solve for x
    x = 198,979,236/6,591
  6. Step 6: Final answer
    x = 30,189.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.