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Finding the Third Proportional to 7,650.94 and 11,440.88

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Solution

The third proportional to 7,650.94 and 11,440.88 is: 17,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.94 : 11,440.88 = 11,440.88 : x
  2. Step 2: Convert to fraction form
    7,650.94/11,440.88 = 11,440.88/x
  3. Step 3: Cross multiply
    7,650.94x = 11,440.88 × 11,440.88
  4. Step 4: Simplify right side
    7,650.94x = 130,893,620.77
  5. Step 5: Solve for x
    x = 130,893,620.77/7,650.94
  6. Step 6: Final answer
    x = 17,108.18

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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.