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Finding the Third Proportional to 8,006.34 and 11,965.22

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Solution

The third proportional to 8,006.34 and 11,965.22 is: 17,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.34 : 11,965.22 = 11,965.22 : x
  2. Step 2: Convert to fraction form
    8,006.34/11,965.22 = 11,965.22/x
  3. Step 3: Cross multiply
    8,006.34x = 11,965.22 × 11,965.22
  4. Step 4: Simplify right side
    8,006.34x = 143,166,459.74
  5. Step 5: Solve for x
    x = 143,166,459.74/8,006.34
  6. Step 6: Final answer
    x = 17,881.63

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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.