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Finding the Third Proportional to 3,165 and 3,429

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Solution

The third proportional to 3,165 and 3,429 is: 3,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165 : 3,429 = 3,429 : x
  2. Step 2: Convert to fraction form
    3,165/3,429 = 3,429/x
  3. Step 3: Cross multiply
    3,165x = 3,429 × 3,429
  4. Step 4: Simplify right side
    3,165x = 11,758,041
  5. Step 5: Solve for x
    x = 11,758,041/3,165
  6. Step 6: Final answer
    x = 3,715.02

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.