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Finding the Third Proportional to 20,731.36 and 31,868.02

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Solution

The third proportional to 20,731.36 and 31,868.02 is: 48,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.36 : 31,868.02 = 31,868.02 : x
  2. Step 2: Convert to fraction form
    20,731.36/31,868.02 = 31,868.02/x
  3. Step 3: Cross multiply
    20,731.36x = 31,868.02 × 31,868.02
  4. Step 4: Simplify right side
    20,731.36x = 1,015,570,419.88
  5. Step 5: Solve for x
    x = 1,015,570,419.88/20,731.36
  6. Step 6: Final answer
    x = 48,987.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.