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Finding the Third Proportional to 51,819.75 and 77,714.44

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Solution

The third proportional to 51,819.75 and 77,714.44 is: 116,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.75 : 77,714.44 = 77,714.44 : x
  2. Step 2: Convert to fraction form
    51,819.75/77,714.44 = 77,714.44/x
  3. Step 3: Cross multiply
    51,819.75x = 77,714.44 × 77,714.44
  4. Step 4: Simplify right side
    51,819.75x = 6,039,533,795.94
  5. Step 5: Solve for x
    x = 6,039,533,795.94/51,819.75
  6. Step 6: Final answer
    x = 116,548.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.