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Finding the Third Proportional to 29,320 and 57,173

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Solution

The third proportional to 29,320 and 57,173 is: 111,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,320 : 57,173 = 57,173 : x
  2. Step 2: Convert to fraction form
    29,320/57,173 = 57,173/x
  3. Step 3: Cross multiply
    29,320x = 57,173 × 57,173
  4. Step 4: Simplify right side
    29,320x = 3,268,751,929
  5. Step 5: Solve for x
    x = 3,268,751,929/29,320
  6. Step 6: Final answer
    x = 111,485.40

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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.