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Finding the Third Proportional to 2,652.75 and 3,710.81

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Solution

The third proportional to 2,652.75 and 3,710.81 is: 5,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.75 : 3,710.81 = 3,710.81 : x
  2. Step 2: Convert to fraction form
    2,652.75/3,710.81 = 3,710.81/x
  3. Step 3: Cross multiply
    2,652.75x = 3,710.81 × 3,710.81
  4. Step 4: Simplify right side
    2,652.75x = 13,770,129.41
  5. Step 5: Solve for x
    x = 13,770,129.41/2,652.75
  6. Step 6: Final answer
    x = 5,190.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.