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Finding the Third Proportional to 32,989 and 69,218

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Solution

The third proportional to 32,989 and 69,218 is: 145,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989 : 69,218 = 69,218 : x
  2. Step 2: Convert to fraction form
    32,989/69,218 = 69,218/x
  3. Step 3: Cross multiply
    32,989x = 69,218 × 69,218
  4. Step 4: Simplify right side
    32,989x = 4,791,131,524
  5. Step 5: Solve for x
    x = 4,791,131,524/32,989
  6. Step 6: Final answer
    x = 145,234.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.