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Finding the Third Proportional to 2,024.25 and 2,720.25

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Solution

The third proportional to 2,024.25 and 2,720.25 is: 3,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.25 : 2,720.25 = 2,720.25 : x
  2. Step 2: Convert to fraction form
    2,024.25/2,720.25 = 2,720.25/x
  3. Step 3: Cross multiply
    2,024.25x = 2,720.25 × 2,720.25
  4. Step 4: Simplify right side
    2,024.25x = 7,399,760.06
  5. Step 5: Solve for x
    x = 7,399,760.06/2,024.25
  6. Step 6: Final answer
    x = 3,655.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.