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Finding the Third Proportional to 32,176 and 48,920

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Solution

The third proportional to 32,176 and 48,920 is: 74,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176 : 48,920 = 48,920 : x
  2. Step 2: Convert to fraction form
    32,176/48,920 = 48,920/x
  3. Step 3: Cross multiply
    32,176x = 48,920 × 48,920
  4. Step 4: Simplify right side
    32,176x = 2,393,166,400
  5. Step 5: Solve for x
    x = 2,393,166,400/32,176
  6. Step 6: Final answer
    x = 74,377.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.