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Finding the Third Proportional to 13,429.55 and 28,704.38

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Solution

The third proportional to 13,429.55 and 28,704.38 is: 61,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.55 : 28,704.38 = 28,704.38 : x
  2. Step 2: Convert to fraction form
    13,429.55/28,704.38 = 28,704.38/x
  3. Step 3: Cross multiply
    13,429.55x = 28,704.38 × 28,704.38
  4. Step 4: Simplify right side
    13,429.55x = 823,941,144.14
  5. Step 5: Solve for x
    x = 823,941,144.14/13,429.55
  6. Step 6: Final answer
    x = 61,352.86

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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.