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Finding the Third Proportional to 20,442 and 30,764.25

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Solution

The third proportional to 20,442 and 30,764.25 is: 46,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442 : 30,764.25 = 30,764.25 : x
  2. Step 2: Convert to fraction form
    20,442/30,764.25 = 30,764.25/x
  3. Step 3: Cross multiply
    20,442x = 30,764.25 × 30,764.25
  4. Step 4: Simplify right side
    20,442x = 946,439,078.06
  5. Step 5: Solve for x
    x = 946,439,078.06/20,442
  6. Step 6: Final answer
    x = 46,298.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.