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Finding the Third Proportional to 15,840 and 33,296

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Solution

The third proportional to 15,840 and 33,296 is: 69,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 33,296 = 33,296 : x
  2. Step 2: Convert to fraction form
    15,840/33,296 = 33,296/x
  3. Step 3: Cross multiply
    15,840x = 33,296 × 33,296
  4. Step 4: Simplify right side
    15,840x = 1,108,623,616
  5. Step 5: Solve for x
    x = 1,108,623,616/15,840
  6. Step 6: Final answer
    x = 69,988.86

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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.