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Finding the Third Proportional to 5,707.13 and 11,682.56

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Solution

The third proportional to 5,707.13 and 11,682.56 is: 23,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.13 : 11,682.56 = 11,682.56 : x
  2. Step 2: Convert to fraction form
    5,707.13/11,682.56 = 11,682.56/x
  3. Step 3: Cross multiply
    5,707.13x = 11,682.56 × 11,682.56
  4. Step 4: Simplify right side
    5,707.13x = 136,482,266.57
  5. Step 5: Solve for x
    x = 136,482,266.57/5,707.13
  6. Step 6: Final answer
    x = 23,914.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.