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Finding the Third Proportional to 7,630.88 and 11,388.94

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Solution

The third proportional to 7,630.88 and 11,388.94 is: 16,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.88 : 11,388.94 = 11,388.94 : x
  2. Step 2: Convert to fraction form
    7,630.88/11,388.94 = 11,388.94/x
  3. Step 3: Cross multiply
    7,630.88x = 11,388.94 × 11,388.94
  4. Step 4: Simplify right side
    7,630.88x = 129,707,897.38
  5. Step 5: Solve for x
    x = 129,707,897.38/7,630.88
  6. Step 6: Final answer
    x = 16,997.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.