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Finding the Third Proportional to 3,720.94 and 5,362.88

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Solution

The third proportional to 3,720.94 and 5,362.88 is: 7,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.94 : 5,362.88 = 5,362.88 : x
  2. Step 2: Convert to fraction form
    3,720.94/5,362.88 = 5,362.88/x
  3. Step 3: Cross multiply
    3,720.94x = 5,362.88 × 5,362.88
  4. Step 4: Simplify right side
    3,720.94x = 28,760,428.27
  5. Step 5: Solve for x
    x = 28,760,428.27/3,720.94
  6. Step 6: Final answer
    x = 7,729.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.