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Finding the Third Proportional to 22,012 and 32,931

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Solution

The third proportional to 22,012 and 32,931 is: 49,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 32,931 = 32,931 : x
  2. Step 2: Convert to fraction form
    22,012/32,931 = 32,931/x
  3. Step 3: Cross multiply
    22,012x = 32,931 × 32,931
  4. Step 4: Simplify right side
    22,012x = 1,084,450,761
  5. Step 5: Solve for x
    x = 1,084,450,761/22,012
  6. Step 6: Final answer
    x = 49,266.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.