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Finding the Third Proportional to 32,050 and 69,932

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Solution

The third proportional to 32,050 and 69,932 is: 152,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050 : 69,932 = 69,932 : x
  2. Step 2: Convert to fraction form
    32,050/69,932 = 69,932/x
  3. Step 3: Cross multiply
    32,050x = 69,932 × 69,932
  4. Step 4: Simplify right side
    32,050x = 4,890,484,624
  5. Step 5: Solve for x
    x = 4,890,484,624/32,050
  6. Step 6: Final answer
    x = 152,589.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.