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Finding the Third Proportional to 21,274 and 31,703

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Solution

The third proportional to 21,274 and 31,703 is: 47,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274 : 31,703 = 31,703 : x
  2. Step 2: Convert to fraction form
    21,274/31,703 = 31,703/x
  3. Step 3: Cross multiply
    21,274x = 31,703 × 31,703
  4. Step 4: Simplify right side
    21,274x = 1,005,080,209
  5. Step 5: Solve for x
    x = 1,005,080,209/21,274
  6. Step 6: Final answer
    x = 47,244.53

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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.