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Finding the Third Proportional to 2,146 and 3,683

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Solution

The third proportional to 2,146 and 3,683 is: 6,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 3,683 = 3,683 : x
  2. Step 2: Convert to fraction form
    2,146/3,683 = 3,683/x
  3. Step 3: Cross multiply
    2,146x = 3,683 × 3,683
  4. Step 4: Simplify right side
    2,146x = 13,564,489
  5. Step 5: Solve for x
    x = 13,564,489/2,146
  6. Step 6: Final answer
    x = 6,320.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.