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Finding the Third Proportional to 22,372 and 52,817

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Solution

The third proportional to 22,372 and 52,817 is: 124,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372 : 52,817 = 52,817 : x
  2. Step 2: Convert to fraction form
    22,372/52,817 = 52,817/x
  3. Step 3: Cross multiply
    22,372x = 52,817 × 52,817
  4. Step 4: Simplify right side
    22,372x = 2,789,635,489
  5. Step 5: Solve for x
    x = 2,789,635,489/22,372
  6. Step 6: Final answer
    x = 124,693.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.