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Finding the Third Proportional to 28,217 and 62,239

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Solution

The third proportional to 28,217 and 62,239 is: 137,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,217 : 62,239 = 62,239 : x
  2. Step 2: Convert to fraction form
    28,217/62,239 = 62,239/x
  3. Step 3: Cross multiply
    28,217x = 62,239 × 62,239
  4. Step 4: Simplify right side
    28,217x = 3,873,693,121
  5. Step 5: Solve for x
    x = 3,873,693,121/28,217
  6. Step 6: Final answer
    x = 137,282.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.