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Finding the Third Proportional to 13,202.68 and 29,357.12

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Solution

The third proportional to 13,202.68 and 29,357.12 is: 65,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.68 : 29,357.12 = 29,357.12 : x
  2. Step 2: Convert to fraction form
    13,202.68/29,357.12 = 29,357.12/x
  3. Step 3: Cross multiply
    13,202.68x = 29,357.12 × 29,357.12
  4. Step 4: Simplify right side
    13,202.68x = 861,840,558.91
  5. Step 5: Solve for x
    x = 861,840,558.91/13,202.68
  6. Step 6: Final answer
    x = 65,277.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.