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Finding the Third Proportional to 3,291.26 and 7,045.73

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Solution

The third proportional to 3,291.26 and 7,045.73 is: 15,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.26 : 7,045.73 = 7,045.73 : x
  2. Step 2: Convert to fraction form
    3,291.26/7,045.73 = 7,045.73/x
  3. Step 3: Cross multiply
    3,291.26x = 7,045.73 × 7,045.73
  4. Step 4: Simplify right side
    3,291.26x = 49,642,372.88
  5. Step 5: Solve for x
    x = 49,642,372.88/3,291.26
  6. Step 6: Final answer
    x = 15,083.10

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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.