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Finding the Third Proportional to 21,328 and 31,996

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Solution

The third proportional to 21,328 and 31,996 is: 48,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328 : 31,996 = 31,996 : x
  2. Step 2: Convert to fraction form
    21,328/31,996 = 31,996/x
  3. Step 3: Cross multiply
    21,328x = 31,996 × 31,996
  4. Step 4: Simplify right side
    21,328x = 1,023,744,016
  5. Step 5: Solve for x
    x = 1,023,744,016/21,328
  6. Step 6: Final answer
    x = 48,000.00

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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.