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Finding the Third Proportional to 15,447 and 33,081

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Solution

The third proportional to 15,447 and 33,081 is: 70,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447 : 33,081 = 33,081 : x
  2. Step 2: Convert to fraction form
    15,447/33,081 = 33,081/x
  3. Step 3: Cross multiply
    15,447x = 33,081 × 33,081
  4. Step 4: Simplify right side
    15,447x = 1,094,352,561
  5. Step 5: Solve for x
    x = 1,094,352,561/15,447
  6. Step 6: Final answer
    x = 70,845.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.