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Finding the Third Proportional to 21,034.50 and 31,713.75

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Solution

The third proportional to 21,034.50 and 31,713.75 is: 47,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.50 : 31,713.75 = 31,713.75 : x
  2. Step 2: Convert to fraction form
    21,034.50/31,713.75 = 31,713.75/x
  3. Step 3: Cross multiply
    21,034.50x = 31,713.75 × 31,713.75
  4. Step 4: Simplify right side
    21,034.50x = 1,005,761,939.06
  5. Step 5: Solve for x
    x = 1,005,761,939.06/21,034.50
  6. Step 6: Final answer
    x = 47,814.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.