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Finding the Third Proportional to 15,840 and 34,704

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Solution

The third proportional to 15,840 and 34,704 is: 76,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 34,704 = 34,704 : x
  2. Step 2: Convert to fraction form
    15,840/34,704 = 34,704/x
  3. Step 3: Cross multiply
    15,840x = 34,704 × 34,704
  4. Step 4: Simplify right side
    15,840x = 1,204,367,616
  5. Step 5: Solve for x
    x = 1,204,367,616/15,840
  6. Step 6: Final answer
    x = 76,033.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.