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Finding the Third Proportional to 29,260 and 57,040

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Solution

The third proportional to 29,260 and 57,040 is: 111,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 57,040 = 57,040 : x
  2. Step 2: Convert to fraction form
    29,260/57,040 = 57,040/x
  3. Step 3: Cross multiply
    29,260x = 57,040 × 57,040
  4. Step 4: Simplify right side
    29,260x = 3,253,561,600
  5. Step 5: Solve for x
    x = 3,253,561,600/29,260
  6. Step 6: Final answer
    x = 111,194.86

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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.