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Finding the Third Proportional to 29,107 and 59,436

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Solution

The third proportional to 29,107 and 59,436 is: 121,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,107 : 59,436 = 59,436 : x
  2. Step 2: Convert to fraction form
    29,107/59,436 = 59,436/x
  3. Step 3: Cross multiply
    29,107x = 59,436 × 59,436
  4. Step 4: Simplify right side
    29,107x = 3,532,638,096
  5. Step 5: Solve for x
    x = 3,532,638,096/29,107
  6. Step 6: Final answer
    x = 121,367.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.