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Finding the Third Proportional to 22,474 and 45,586

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Solution

The third proportional to 22,474 and 45,586 is: 92,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474 : 45,586 = 45,586 : x
  2. Step 2: Convert to fraction form
    22,474/45,586 = 45,586/x
  3. Step 3: Cross multiply
    22,474x = 45,586 × 45,586
  4. Step 4: Simplify right side
    22,474x = 2,078,083,396
  5. Step 5: Solve for x
    x = 2,078,083,396/22,474
  6. Step 6: Final answer
    x = 92,466.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.