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Finding the Third Proportional to 20,807.30 and 31,729.22

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Solution

The third proportional to 20,807.30 and 31,729.22 is: 48,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.30 : 31,729.22 = 31,729.22 : x
  2. Step 2: Convert to fraction form
    20,807.30/31,729.22 = 31,729.22/x
  3. Step 3: Cross multiply
    20,807.30x = 31,729.22 × 31,729.22
  4. Step 4: Simplify right side
    20,807.30x = 1,006,743,322.49
  5. Step 5: Solve for x
    x = 1,006,743,322.49/20,807.30
  6. Step 6: Final answer
    x = 48,384.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.