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Finding the Third Proportional to 3,215 and 6,853

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Solution

The third proportional to 3,215 and 6,853 is: 14,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215 : 6,853 = 6,853 : x
  2. Step 2: Convert to fraction form
    3,215/6,853 = 6,853/x
  3. Step 3: Cross multiply
    3,215x = 6,853 × 6,853
  4. Step 4: Simplify right side
    3,215x = 46,963,609
  5. Step 5: Solve for x
    x = 46,963,609/3,215
  6. Step 6: Final answer
    x = 14,607.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.