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Finding the Third Proportional to 3,084 and 3,534

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Solution

The third proportional to 3,084 and 3,534 is: 4,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 3,534 = 3,534 : x
  2. Step 2: Convert to fraction form
    3,084/3,534 = 3,534/x
  3. Step 3: Cross multiply
    3,084x = 3,534 × 3,534
  4. Step 4: Simplify right side
    3,084x = 12,489,156
  5. Step 5: Solve for x
    x = 12,489,156/3,084
  6. Step 6: Final answer
    x = 4,049.66

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.