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Finding the Third Proportional to 8,417 and 17,705

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Solution

The third proportional to 8,417 and 17,705 is: 37,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 17,705 = 17,705 : x
  2. Step 2: Convert to fraction form
    8,417/17,705 = 17,705/x
  3. Step 3: Cross multiply
    8,417x = 17,705 × 17,705
  4. Step 4: Simplify right side
    8,417x = 313,467,025
  5. Step 5: Solve for x
    x = 313,467,025/8,417
  6. Step 6: Final answer
    x = 37,242.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.