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Finding the Third Proportional to 8,148.09 and 17,645.34

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Solution

The third proportional to 8,148.09 and 17,645.34 is: 38,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.09 : 17,645.34 = 17,645.34 : x
  2. Step 2: Convert to fraction form
    8,148.09/17,645.34 = 17,645.34/x
  3. Step 3: Cross multiply
    8,148.09x = 17,645.34 × 17,645.34
  4. Step 4: Simplify right side
    8,148.09x = 311,358,156.06
  5. Step 5: Solve for x
    x = 311,358,156.06/8,148.09
  6. Step 6: Final answer
    x = 38,212.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.