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Finding the Third Proportional to 20,036.25 and 31,147.88

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Solution

The third proportional to 20,036.25 and 31,147.88 is: 48,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.25 : 31,147.88 = 31,147.88 : x
  2. Step 2: Convert to fraction form
    20,036.25/31,147.88 = 31,147.88/x
  3. Step 3: Cross multiply
    20,036.25x = 31,147.88 × 31,147.88
  4. Step 4: Simplify right side
    20,036.25x = 970,190,117.02
  5. Step 5: Solve for x
    x = 970,190,117.02/20,036.25
  6. Step 6: Final answer
    x = 48,421.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.