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Finding the Third Proportional to 21,297 and 32,244

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Solution

The third proportional to 21,297 and 32,244 is: 48,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297 : 32,244 = 32,244 : x
  2. Step 2: Convert to fraction form
    21,297/32,244 = 32,244/x
  3. Step 3: Cross multiply
    21,297x = 32,244 × 32,244
  4. Step 4: Simplify right side
    21,297x = 1,039,675,536
  5. Step 5: Solve for x
    x = 1,039,675,536/21,297
  6. Step 6: Final answer
    x = 48,817.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.