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Finding the Third Proportional to 8,911.69 and 14,110.03

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Solution

The third proportional to 8,911.69 and 14,110.03 is: 22,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.69 : 14,110.03 = 14,110.03 : x
  2. Step 2: Convert to fraction form
    8,911.69/14,110.03 = 14,110.03/x
  3. Step 3: Cross multiply
    8,911.69x = 14,110.03 × 14,110.03
  4. Step 4: Simplify right side
    8,911.69x = 199,092,981.88
  5. Step 5: Solve for x
    x = 199,092,981.88/8,911.69
  6. Step 6: Final answer
    x = 22,340.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.