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Finding the Third Proportional to 21,002 and 32,931

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Solution

The third proportional to 21,002 and 32,931 is: 51,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002 : 32,931 = 32,931 : x
  2. Step 2: Convert to fraction form
    21,002/32,931 = 32,931/x
  3. Step 3: Cross multiply
    21,002x = 32,931 × 32,931
  4. Step 4: Simplify right side
    21,002x = 1,084,450,761
  5. Step 5: Solve for x
    x = 1,084,450,761/21,002
  6. Step 6: Final answer
    x = 51,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.