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Finding the Third Proportional to 22,577 and 49,318

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Solution

The third proportional to 22,577 and 49,318 is: 107,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577 : 49,318 = 49,318 : x
  2. Step 2: Convert to fraction form
    22,577/49,318 = 49,318/x
  3. Step 3: Cross multiply
    22,577x = 49,318 × 49,318
  4. Step 4: Simplify right side
    22,577x = 2,432,265,124
  5. Step 5: Solve for x
    x = 2,432,265,124/22,577
  6. Step 6: Final answer
    x = 107,731.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.