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Finding the Third Proportional to 3,748.23 and 8,058.69

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Solution

The third proportional to 3,748.23 and 8,058.69 is: 17,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.23 : 8,058.69 = 8,058.69 : x
  2. Step 2: Convert to fraction form
    3,748.23/8,058.69 = 8,058.69/x
  3. Step 3: Cross multiply
    3,748.23x = 8,058.69 × 8,058.69
  4. Step 4: Simplify right side
    3,748.23x = 64,942,471.77
  5. Step 5: Solve for x
    x = 64,942,471.77/3,748.23
  6. Step 6: Final answer
    x = 17,326.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.