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Finding the Third Proportional to 17,796 and 39,294

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Solution

The third proportional to 17,796 and 39,294 is: 86,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796 : 39,294 = 39,294 : x
  2. Step 2: Convert to fraction form
    17,796/39,294 = 39,294/x
  3. Step 3: Cross multiply
    17,796x = 39,294 × 39,294
  4. Step 4: Simplify right side
    17,796x = 1,544,018,436
  5. Step 5: Solve for x
    x = 1,544,018,436/17,796
  6. Step 6: Final answer
    x = 86,762.11

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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.