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Finding the Third Proportional to 29,318.25 and 57,178.13

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Solution

The third proportional to 29,318.25 and 57,178.13 is: 111,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,318.25 : 57,178.13 = 57,178.13 : x
  2. Step 2: Convert to fraction form
    29,318.25/57,178.13 = 57,178.13/x
  3. Step 3: Cross multiply
    29,318.25x = 57,178.13 × 57,178.13
  4. Step 4: Simplify right side
    29,318.25x = 3,269,337,978.52
  5. Step 5: Solve for x
    x = 3,269,337,978.52/29,318.25
  6. Step 6: Final answer
    x = 111,512.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.