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Finding the Third Proportional to 28,847 and 61,846

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Solution

The third proportional to 28,847 and 61,846 is: 132,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,847 : 61,846 = 61,846 : x
  2. Step 2: Convert to fraction form
    28,847/61,846 = 61,846/x
  3. Step 3: Cross multiply
    28,847x = 61,846 × 61,846
  4. Step 4: Simplify right side
    28,847x = 3,824,927,716
  5. Step 5: Solve for x
    x = 3,824,927,716/28,847
  6. Step 6: Final answer
    x = 132,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.