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Finding the Third Proportional to 2,829 and 6,521

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Solution

The third proportional to 2,829 and 6,521 is: 15,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829 : 6,521 = 6,521 : x
  2. Step 2: Convert to fraction form
    2,829/6,521 = 6,521/x
  3. Step 3: Cross multiply
    2,829x = 6,521 × 6,521
  4. Step 4: Simplify right side
    2,829x = 42,523,441
  5. Step 5: Solve for x
    x = 42,523,441/2,829
  6. Step 6: Final answer
    x = 15,031.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.