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Finding the Third Proportional to 17,767 and 39,239

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Solution

The third proportional to 17,767 and 39,239 is: 86,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767 : 39,239 = 39,239 : x
  2. Step 2: Convert to fraction form
    17,767/39,239 = 39,239/x
  3. Step 3: Cross multiply
    17,767x = 39,239 × 39,239
  4. Step 4: Simplify right side
    17,767x = 1,539,699,121
  5. Step 5: Solve for x
    x = 1,539,699,121/17,767
  6. Step 6: Final answer
    x = 86,660.61

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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.