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Finding the Third Proportional to 6,854 and 14,941

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Solution

The third proportional to 6,854 and 14,941 is: 32,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854 : 14,941 = 14,941 : x
  2. Step 2: Convert to fraction form
    6,854/14,941 = 14,941/x
  3. Step 3: Cross multiply
    6,854x = 14,941 × 14,941
  4. Step 4: Simplify right side
    6,854x = 223,233,481
  5. Step 5: Solve for x
    x = 223,233,481/6,854
  6. Step 6: Final answer
    x = 32,569.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.