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Finding the Third Proportional to 7,768.41 and 17,290.97

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Solution

The third proportional to 7,768.41 and 17,290.97 is: 38,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.41 : 17,290.97 = 17,290.97 : x
  2. Step 2: Convert to fraction form
    7,768.41/17,290.97 = 17,290.97/x
  3. Step 3: Cross multiply
    7,768.41x = 17,290.97 × 17,290.97
  4. Step 4: Simplify right side
    7,768.41x = 298,977,600.31
  5. Step 5: Solve for x
    x = 298,977,600.31/7,768.41
  6. Step 6: Final answer
    x = 38,486.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.