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Finding the Third Proportional to 2,165 and 3,487

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Solution

The third proportional to 2,165 and 3,487 is: 5,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 3,487 = 3,487 : x
  2. Step 2: Convert to fraction form
    2,165/3,487 = 3,487/x
  3. Step 3: Cross multiply
    2,165x = 3,487 × 3,487
  4. Step 4: Simplify right side
    2,165x = 12,159,169
  5. Step 5: Solve for x
    x = 12,159,169/2,165
  6. Step 6: Final answer
    x = 5,616.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.