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Finding the Third Proportional to 6,560 and 14,041

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Solution

The third proportional to 6,560 and 14,041 is: 30,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 14,041 = 14,041 : x
  2. Step 2: Convert to fraction form
    6,560/14,041 = 14,041/x
  3. Step 3: Cross multiply
    6,560x = 14,041 × 14,041
  4. Step 4: Simplify right side
    6,560x = 197,149,681
  5. Step 5: Solve for x
    x = 197,149,681/6,560
  6. Step 6: Final answer
    x = 30,053.31

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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.