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Finding the Third Proportional to 2,612 and 3,817.94

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Solution

The third proportional to 2,612 and 3,817.94 is: 5,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612 : 3,817.94 = 3,817.94 : x
  2. Step 2: Convert to fraction form
    2,612/3,817.94 = 3,817.94/x
  3. Step 3: Cross multiply
    2,612x = 3,817.94 × 3,817.94
  4. Step 4: Simplify right side
    2,612x = 14,576,646.75
  5. Step 5: Solve for x
    x = 14,576,646.75/2,612
  6. Step 6: Final answer
    x = 5,580.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.