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Finding the Third Proportional to 2,906 and 6,853

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Solution

The third proportional to 2,906 and 6,853 is: 16,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 6,853 = 6,853 : x
  2. Step 2: Convert to fraction form
    2,906/6,853 = 6,853/x
  3. Step 3: Cross multiply
    2,906x = 6,853 × 6,853
  4. Step 4: Simplify right side
    2,906x = 46,963,609
  5. Step 5: Solve for x
    x = 46,963,609/2,906
  6. Step 6: Final answer
    x = 16,160.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.