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Finding the Third Proportional to 22,908 and 32,682

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Solution

The third proportional to 22,908 and 32,682 is: 46,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,908 : 32,682 = 32,682 : x
  2. Step 2: Convert to fraction form
    22,908/32,682 = 32,682/x
  3. Step 3: Cross multiply
    22,908x = 32,682 × 32,682
  4. Step 4: Simplify right side
    22,908x = 1,068,113,124
  5. Step 5: Solve for x
    x = 1,068,113,124/22,908
  6. Step 6: Final answer
    x = 46,626.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.