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Finding the Third Proportional to 21,122 and 31,620

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Solution

The third proportional to 21,122 and 31,620 is: 47,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122 : 31,620 = 31,620 : x
  2. Step 2: Convert to fraction form
    21,122/31,620 = 31,620/x
  3. Step 3: Cross multiply
    21,122x = 31,620 × 31,620
  4. Step 4: Simplify right side
    21,122x = 999,824,400
  5. Step 5: Solve for x
    x = 999,824,400/21,122
  6. Step 6: Final answer
    x = 47,335.69

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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.