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Finding the Third Proportional to 8,074.69 and 17,316.84

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Solution

The third proportional to 8,074.69 and 17,316.84 is: 37,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.69 : 17,316.84 = 17,316.84 : x
  2. Step 2: Convert to fraction form
    8,074.69/17,316.84 = 17,316.84/x
  3. Step 3: Cross multiply
    8,074.69x = 17,316.84 × 17,316.84
  4. Step 4: Simplify right side
    8,074.69x = 299,873,077.46
  5. Step 5: Solve for x
    x = 299,873,077.46/8,074.69
  6. Step 6: Final answer
    x = 37,137.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.