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Finding the Third Proportional to 32,044 and 69,019

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Solution

The third proportional to 32,044 and 69,019 is: 148,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044 : 69,019 = 69,019 : x
  2. Step 2: Convert to fraction form
    32,044/69,019 = 69,019/x
  3. Step 3: Cross multiply
    32,044x = 69,019 × 69,019
  4. Step 4: Simplify right side
    32,044x = 4,763,622,361
  5. Step 5: Solve for x
    x = 4,763,622,361/32,044
  6. Step 6: Final answer
    x = 148,658.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.