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Finding the Third Proportional to 20,366.44 and 31,534.95

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Solution

The third proportional to 20,366.44 and 31,534.95 is: 48,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,366.44 : 31,534.95 = 31,534.95 : x
  2. Step 2: Convert to fraction form
    20,366.44/31,534.95 = 31,534.95/x
  3. Step 3: Cross multiply
    20,366.44x = 31,534.95 × 31,534.95
  4. Step 4: Simplify right side
    20,366.44x = 994,452,775.86
  5. Step 5: Solve for x
    x = 994,452,775.86/20,366.44
  6. Step 6: Final answer
    x = 48,828.02

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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.