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Finding the Third Proportional to 2,565 and 3,690

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Solution

The third proportional to 2,565 and 3,690 is: 5,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,690 = 3,690 : x
  2. Step 2: Convert to fraction form
    2,565/3,690 = 3,690/x
  3. Step 3: Cross multiply
    2,565x = 3,690 × 3,690
  4. Step 4: Simplify right side
    2,565x = 13,616,100
  5. Step 5: Solve for x
    x = 13,616,100/2,565
  6. Step 6: Final answer
    x = 5,308.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.