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Finding the Third Proportional to 8,354 and 17,518

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Solution

The third proportional to 8,354 and 17,518 is: 36,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354 : 17,518 = 17,518 : x
  2. Step 2: Convert to fraction form
    8,354/17,518 = 17,518/x
  3. Step 3: Cross multiply
    8,354x = 17,518 × 17,518
  4. Step 4: Simplify right side
    8,354x = 306,880,324
  5. Step 5: Solve for x
    x = 306,880,324/8,354
  6. Step 6: Final answer
    x = 36,734.54

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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.