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Finding the Third Proportional to 3,146 and 6,592

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Solution

The third proportional to 3,146 and 6,592 is: 13,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 6,592 = 6,592 : x
  2. Step 2: Convert to fraction form
    3,146/6,592 = 6,592/x
  3. Step 3: Cross multiply
    3,146x = 6,592 × 6,592
  4. Step 4: Simplify right side
    3,146x = 43,454,464
  5. Step 5: Solve for x
    x = 43,454,464/3,146
  6. Step 6: Final answer
    x = 13,812.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.