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Finding the Third Proportional to 14,853 and 32,682

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Solution

The third proportional to 14,853 and 32,682 is: 71,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853 : 32,682 = 32,682 : x
  2. Step 2: Convert to fraction form
    14,853/32,682 = 32,682/x
  3. Step 3: Cross multiply
    14,853x = 32,682 × 32,682
  4. Step 4: Simplify right side
    14,853x = 1,068,113,124
  5. Step 5: Solve for x
    x = 1,068,113,124/14,853
  6. Step 6: Final answer
    x = 71,912.28

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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.