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Finding the Third Proportional to 8,041.75 and 17,719.63

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Solution

The third proportional to 8,041.75 and 17,719.63 is: 39,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.75 : 17,719.63 = 17,719.63 : x
  2. Step 2: Convert to fraction form
    8,041.75/17,719.63 = 17,719.63/x
  3. Step 3: Cross multiply
    8,041.75x = 17,719.63 × 17,719.63
  4. Step 4: Simplify right side
    8,041.75x = 313,985,110.14
  5. Step 5: Solve for x
    x = 313,985,110.14/8,041.75
  6. Step 6: Final answer
    x = 39,044.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.