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Finding the Third Proportional to 15,472 and 33,407

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Solution

The third proportional to 15,472 and 33,407 is: 72,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472 : 33,407 = 33,407 : x
  2. Step 2: Convert to fraction form
    15,472/33,407 = 33,407/x
  3. Step 3: Cross multiply
    15,472x = 33,407 × 33,407
  4. Step 4: Simplify right side
    15,472x = 1,116,027,649
  5. Step 5: Solve for x
    x = 1,116,027,649/15,472
  6. Step 6: Final answer
    x = 72,132.09

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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.