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Finding the Third Proportional to 29,492 and 35,852

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Solution

The third proportional to 29,492 and 35,852 is: 43,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,492 : 35,852 = 35,852 : x
  2. Step 2: Convert to fraction form
    29,492/35,852 = 35,852/x
  3. Step 3: Cross multiply
    29,492x = 35,852 × 35,852
  4. Step 4: Simplify right side
    29,492x = 1,285,365,904
  5. Step 5: Solve for x
    x = 1,285,365,904/29,492
  6. Step 6: Final answer
    x = 43,583.54

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.