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Finding the Third Proportional to 8,416 and 18,284

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Solution

The third proportional to 8,416 and 18,284 is: 39,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 18,284 = 18,284 : x
  2. Step 2: Convert to fraction form
    8,416/18,284 = 18,284/x
  3. Step 3: Cross multiply
    8,416x = 18,284 × 18,284
  4. Step 4: Simplify right side
    8,416x = 334,304,656
  5. Step 5: Solve for x
    x = 334,304,656/8,416
  6. Step 6: Final answer
    x = 39,722.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.