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Finding the Third Proportional to 5,056.88 and 7,694.44

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Solution

The third proportional to 5,056.88 and 7,694.44 is: 11,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.88 : 7,694.44 = 7,694.44 : x
  2. Step 2: Convert to fraction form
    5,056.88/7,694.44 = 7,694.44/x
  3. Step 3: Cross multiply
    5,056.88x = 7,694.44 × 7,694.44
  4. Step 4: Simplify right side
    5,056.88x = 59,204,368.44
  5. Step 5: Solve for x
    x = 59,204,368.44/5,056.88
  6. Step 6: Final answer
    x = 11,707.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.