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Finding the Third Proportional to 32,244 and 51,297

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Solution

The third proportional to 32,244 and 51,297 is: 81,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,244 : 51,297 = 51,297 : x
  2. Step 2: Convert to fraction form
    32,244/51,297 = 51,297/x
  3. Step 3: Cross multiply
    32,244x = 51,297 × 51,297
  4. Step 4: Simplify right side
    32,244x = 2,631,382,209
  5. Step 5: Solve for x
    x = 2,631,382,209/32,244
  6. Step 6: Final answer
    x = 81,608.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.