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Finding the Third Proportional to 28,942 and 62,622

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Solution

The third proportional to 28,942 and 62,622 is: 135,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,942 : 62,622 = 62,622 : x
  2. Step 2: Convert to fraction form
    28,942/62,622 = 62,622/x
  3. Step 3: Cross multiply
    28,942x = 62,622 × 62,622
  4. Step 4: Simplify right side
    28,942x = 3,921,514,884
  5. Step 5: Solve for x
    x = 3,921,514,884/28,942
  6. Step 6: Final answer
    x = 135,495.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.