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Finding the Third Proportional to 21,412 and 31,926

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Solution

The third proportional to 21,412 and 31,926 is: 47,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 31,926 = 31,926 : x
  2. Step 2: Convert to fraction form
    21,412/31,926 = 31,926/x
  3. Step 3: Cross multiply
    21,412x = 31,926 × 31,926
  4. Step 4: Simplify right side
    21,412x = 1,019,269,476
  5. Step 5: Solve for x
    x = 1,019,269,476/21,412
  6. Step 6: Final answer
    x = 47,602.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.