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Finding the Third Proportional to 15,487 and 33,941

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Solution

The third proportional to 15,487 and 33,941 is: 74,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487 : 33,941 = 33,941 : x
  2. Step 2: Convert to fraction form
    15,487/33,941 = 33,941/x
  3. Step 3: Cross multiply
    15,487x = 33,941 × 33,941
  4. Step 4: Simplify right side
    15,487x = 1,151,991,481
  5. Step 5: Solve for x
    x = 1,151,991,481/15,487
  6. Step 6: Final answer
    x = 74,384.42

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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.