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Finding the Third Proportional to 6,905 and 14,521

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Solution

The third proportional to 6,905 and 14,521 is: 30,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905 : 14,521 = 14,521 : x
  2. Step 2: Convert to fraction form
    6,905/14,521 = 14,521/x
  3. Step 3: Cross multiply
    6,905x = 14,521 × 14,521
  4. Step 4: Simplify right side
    6,905x = 210,859,441
  5. Step 5: Solve for x
    x = 210,859,441/6,905
  6. Step 6: Final answer
    x = 30,537.21

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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.