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Finding the Third Proportional to 28,622 and 38,217

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Solution

The third proportional to 28,622 and 38,217 is: 51,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,622 : 38,217 = 38,217 : x
  2. Step 2: Convert to fraction form
    28,622/38,217 = 38,217/x
  3. Step 3: Cross multiply
    28,622x = 38,217 × 38,217
  4. Step 4: Simplify right side
    28,622x = 1,460,539,089
  5. Step 5: Solve for x
    x = 1,460,539,089/28,622
  6. Step 6: Final answer
    x = 51,028.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.