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Finding the Third Proportional to 21,060 and 32,857

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Solution

The third proportional to 21,060 and 32,857 is: 51,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,060 : 32,857 = 32,857 : x
  2. Step 2: Convert to fraction form
    21,060/32,857 = 32,857/x
  3. Step 3: Cross multiply
    21,060x = 32,857 × 32,857
  4. Step 4: Simplify right side
    21,060x = 1,079,582,449
  5. Step 5: Solve for x
    x = 1,079,582,449/21,060
  6. Step 6: Final answer
    x = 51,262.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.