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Finding the Third Proportional to 29,265 and 62,868

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Solution

The third proportional to 29,265 and 62,868 is: 135,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,265 : 62,868 = 62,868 : x
  2. Step 2: Convert to fraction form
    29,265/62,868 = 62,868/x
  3. Step 3: Cross multiply
    29,265x = 62,868 × 62,868
  4. Step 4: Simplify right side
    29,265x = 3,952,385,424
  5. Step 5: Solve for x
    x = 3,952,385,424/29,265
  6. Step 6: Final answer
    x = 135,055.03

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Why These Related Problems?

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