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Finding the Third Proportional to 16,348 and 34,604

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Solution

The third proportional to 16,348 and 34,604 is: 73,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348 : 34,604 = 34,604 : x
  2. Step 2: Convert to fraction form
    16,348/34,604 = 34,604/x
  3. Step 3: Cross multiply
    16,348x = 34,604 × 34,604
  4. Step 4: Simplify right side
    16,348x = 1,197,436,816
  5. Step 5: Solve for x
    x = 1,197,436,816/16,348
  6. Step 6: Final answer
    x = 73,246.69

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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.