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Finding the Third Proportional to 32,052 and 69,031

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Solution

The third proportional to 32,052 and 69,031 is: 148,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052 : 69,031 = 69,031 : x
  2. Step 2: Convert to fraction form
    32,052/69,031 = 69,031/x
  3. Step 3: Cross multiply
    32,052x = 69,031 × 69,031
  4. Step 4: Simplify right side
    32,052x = 4,765,278,961
  5. Step 5: Solve for x
    x = 4,765,278,961/32,052
  6. Step 6: Final answer
    x = 148,673.37

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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.