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Finding the Third Proportional to 18,734 and 29,055

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Solution

The third proportional to 18,734 and 29,055 is: 45,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,734 : 29,055 = 29,055 : x
  2. Step 2: Convert to fraction form
    18,734/29,055 = 29,055/x
  3. Step 3: Cross multiply
    18,734x = 29,055 × 29,055
  4. Step 4: Simplify right side
    18,734x = 844,193,025
  5. Step 5: Solve for x
    x = 844,193,025/18,734
  6. Step 6: Final answer
    x = 45,062.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.