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Finding the Third Proportional to 20,548.69 and 31,433.06

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Solution

The third proportional to 20,548.69 and 31,433.06 is: 48,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.69 : 31,433.06 = 31,433.06 : x
  2. Step 2: Convert to fraction form
    20,548.69/31,433.06 = 31,433.06/x
  3. Step 3: Cross multiply
    20,548.69x = 31,433.06 × 31,433.06
  4. Step 4: Simplify right side
    20,548.69x = 988,037,418.13
  5. Step 5: Solve for x
    x = 988,037,418.13/20,548.69
  6. Step 6: Final answer
    x = 48,082.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.