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Finding the Third Proportional to 6,727 and 14,521

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Solution

The third proportional to 6,727 and 14,521 is: 31,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727 : 14,521 = 14,521 : x
  2. Step 2: Convert to fraction form
    6,727/14,521 = 14,521/x
  3. Step 3: Cross multiply
    6,727x = 14,521 × 14,521
  4. Step 4: Simplify right side
    6,727x = 210,859,441
  5. Step 5: Solve for x
    x = 210,859,441/6,727
  6. Step 6: Final answer
    x = 31,345.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.