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Finding the Third Proportional to 29,530 and 64,232

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Solution

The third proportional to 29,530 and 64,232 is: 139,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,530 : 64,232 = 64,232 : x
  2. Step 2: Convert to fraction form
    29,530/64,232 = 64,232/x
  3. Step 3: Cross multiply
    29,530x = 64,232 × 64,232
  4. Step 4: Simplify right side
    29,530x = 4,125,749,824
  5. Step 5: Solve for x
    x = 4,125,749,824/29,530
  6. Step 6: Final answer
    x = 139,713.84

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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.