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Finding the Third Proportional to 15,492 and 33,832

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Solution

The third proportional to 15,492 and 33,832 is: 73,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492 : 33,832 = 33,832 : x
  2. Step 2: Convert to fraction form
    15,492/33,832 = 33,832/x
  3. Step 3: Cross multiply
    15,492x = 33,832 × 33,832
  4. Step 4: Simplify right side
    15,492x = 1,144,604,224
  5. Step 5: Solve for x
    x = 1,144,604,224/15,492
  6. Step 6: Final answer
    x = 73,883.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.