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Finding the Third Proportional to 20,848.64 and 31,453.31

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Solution

The third proportional to 20,848.64 and 31,453.31 is: 47,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848.64 : 31,453.31 = 31,453.31 : x
  2. Step 2: Convert to fraction form
    20,848.64/31,453.31 = 31,453.31/x
  3. Step 3: Cross multiply
    20,848.64x = 31,453.31 × 31,453.31
  4. Step 4: Simplify right side
    20,848.64x = 989,310,867.22
  5. Step 5: Solve for x
    x = 989,310,867.22/20,848.64
  6. Step 6: Final answer
    x = 47,452.06

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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.