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Finding the Third Proportional to 32,920 and 50,032

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Solution

The third proportional to 32,920 and 50,032 is: 76,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920 : 50,032 = 50,032 : x
  2. Step 2: Convert to fraction form
    32,920/50,032 = 50,032/x
  3. Step 3: Cross multiply
    32,920x = 50,032 × 50,032
  4. Step 4: Simplify right side
    32,920x = 2,503,201,024
  5. Step 5: Solve for x
    x = 2,503,201,024/32,920
  6. Step 6: Final answer
    x = 76,038.91

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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.