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Finding the Third Proportional to 20,045 and 34,218

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Solution

The third proportional to 20,045 and 34,218 is: 58,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045 : 34,218 = 34,218 : x
  2. Step 2: Convert to fraction form
    20,045/34,218 = 34,218/x
  3. Step 3: Cross multiply
    20,045x = 34,218 × 34,218
  4. Step 4: Simplify right side
    20,045x = 1,170,871,524
  5. Step 5: Solve for x
    x = 1,170,871,524/20,045
  6. Step 6: Final answer
    x = 58,412.15

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.