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Finding the Third Proportional to 2,566 and 3,739

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Solution

The third proportional to 2,566 and 3,739 is: 5,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566 : 3,739 = 3,739 : x
  2. Step 2: Convert to fraction form
    2,566/3,739 = 3,739/x
  3. Step 3: Cross multiply
    2,566x = 3,739 × 3,739
  4. Step 4: Simplify right side
    2,566x = 13,980,121
  5. Step 5: Solve for x
    x = 13,980,121/2,566
  6. Step 6: Final answer
    x = 5,448.22

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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.