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Finding the Third Proportional to 13,503.94 and 20,442.38

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Solution

The third proportional to 13,503.94 and 20,442.38 is: 30,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.94 : 20,442.38 = 20,442.38 : x
  2. Step 2: Convert to fraction form
    13,503.94/20,442.38 = 20,442.38/x
  3. Step 3: Cross multiply
    13,503.94x = 20,442.38 × 20,442.38
  4. Step 4: Simplify right side
    13,503.94x = 417,890,695.64
  5. Step 5: Solve for x
    x = 417,890,695.64/13,503.94
  6. Step 6: Final answer
    x = 30,945.84

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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.