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Finding the Third Proportional to 8,166.09 and 17,888.34

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Solution

The third proportional to 8,166.09 and 17,888.34 is: 39,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.09 : 17,888.34 = 17,888.34 : x
  2. Step 2: Convert to fraction form
    8,166.09/17,888.34 = 17,888.34/x
  3. Step 3: Cross multiply
    8,166.09x = 17,888.34 × 17,888.34
  4. Step 4: Simplify right side
    8,166.09x = 319,992,842.12
  5. Step 5: Solve for x
    x = 319,992,842.12/8,166.09
  6. Step 6: Final answer
    x = 39,185.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.