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Finding the Third Proportional to 7,717.78 and 11,060.30

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Solution

The third proportional to 7,717.78 and 11,060.30 is: 15,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.78 : 11,060.30 = 11,060.30 : x
  2. Step 2: Convert to fraction form
    7,717.78/11,060.30 = 11,060.30/x
  3. Step 3: Cross multiply
    7,717.78x = 11,060.30 × 11,060.30
  4. Step 4: Simplify right side
    7,717.78x = 122,330,166.96
  5. Step 5: Solve for x
    x = 122,330,166.96/7,717.78
  6. Step 6: Final answer
    x = 15,850.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.