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Finding the Third Proportional to 23,340 and 49,558

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Solution

The third proportional to 23,340 and 49,558 is: 105,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,340 : 49,558 = 49,558 : x
  2. Step 2: Convert to fraction form
    23,340/49,558 = 49,558/x
  3. Step 3: Cross multiply
    23,340x = 49,558 × 49,558
  4. Step 4: Simplify right side
    23,340x = 2,455,995,364
  5. Step 5: Solve for x
    x = 2,455,995,364/23,340
  6. Step 6: Final answer
    x = 105,226.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.