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Finding the Third Proportional to 15,630 and 33,704

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Solution

The third proportional to 15,630 and 33,704 is: 72,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630 : 33,704 = 33,704 : x
  2. Step 2: Convert to fraction form
    15,630/33,704 = 33,704/x
  3. Step 3: Cross multiply
    15,630x = 33,704 × 33,704
  4. Step 4: Simplify right side
    15,630x = 1,135,959,616
  5. Step 5: Solve for x
    x = 1,135,959,616/15,630
  6. Step 6: Final answer
    x = 72,678.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.