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Finding the Third Proportional to 29,180.25 and 64,032.75

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Solution

The third proportional to 29,180.25 and 64,032.75 is: 140,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,180.25 : 64,032.75 = 64,032.75 : x
  2. Step 2: Convert to fraction form
    29,180.25/64,032.75 = 64,032.75/x
  3. Step 3: Cross multiply
    29,180.25x = 64,032.75 × 64,032.75
  4. Step 4: Simplify right side
    29,180.25x = 4,100,193,072.56
  5. Step 5: Solve for x
    x = 4,100,193,072.56/29,180.25
  6. Step 6: Final answer
    x = 140,512.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.