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Finding the Third Proportional to 29,824 and 45,112

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Solution

The third proportional to 29,824 and 45,112 is: 68,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824 : 45,112 = 45,112 : x
  2. Step 2: Convert to fraction form
    29,824/45,112 = 45,112/x
  3. Step 3: Cross multiply
    29,824x = 45,112 × 45,112
  4. Step 4: Simplify right side
    29,824x = 2,035,092,544
  5. Step 5: Solve for x
    x = 2,035,092,544/29,824
  6. Step 6: Final answer
    x = 68,236.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.