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Finding the Third Proportional to 2,014.72 and 2,720.94

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Solution

The third proportional to 2,014.72 and 2,720.94 is: 3,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.72 : 2,720.94 = 2,720.94 : x
  2. Step 2: Convert to fraction form
    2,014.72/2,720.94 = 2,720.94/x
  3. Step 3: Cross multiply
    2,014.72x = 2,720.94 × 2,720.94
  4. Step 4: Simplify right side
    2,014.72x = 7,403,490.25
  5. Step 5: Solve for x
    x = 7,403,490.25/2,014.72
  6. Step 6: Final answer
    x = 3,674.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.