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Finding the Third Proportional to 14,744 and 32,782

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Solution

The third proportional to 14,744 and 32,782 is: 72,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744 : 32,782 = 32,782 : x
  2. Step 2: Convert to fraction form
    14,744/32,782 = 32,782/x
  3. Step 3: Cross multiply
    14,744x = 32,782 × 32,782
  4. Step 4: Simplify right side
    14,744x = 1,074,659,524
  5. Step 5: Solve for x
    x = 1,074,659,524/14,744
  6. Step 6: Final answer
    x = 72,887.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.