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Finding the Third Proportional to 16,200 and 34,340

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Solution

The third proportional to 16,200 and 34,340 is: 72,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 34,340 = 34,340 : x
  2. Step 2: Convert to fraction form
    16,200/34,340 = 34,340/x
  3. Step 3: Cross multiply
    16,200x = 34,340 × 34,340
  4. Step 4: Simplify right side
    16,200x = 1,179,235,600
  5. Step 5: Solve for x
    x = 1,179,235,600/16,200
  6. Step 6: Final answer
    x = 72,792.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.