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Finding the Third Proportional to 15,491 and 33,466

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Solution

The third proportional to 15,491 and 33,466 is: 72,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491 : 33,466 = 33,466 : x
  2. Step 2: Convert to fraction form
    15,491/33,466 = 33,466/x
  3. Step 3: Cross multiply
    15,491x = 33,466 × 33,466
  4. Step 4: Simplify right side
    15,491x = 1,119,973,156
  5. Step 5: Solve for x
    x = 1,119,973,156/15,491
  6. Step 6: Final answer
    x = 72,298.31

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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.