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Finding the Third Proportional to 2,952.45 and 6,480.82

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Solution

The third proportional to 2,952.45 and 6,480.82 is: 14,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.45 : 6,480.82 = 6,480.82 : x
  2. Step 2: Convert to fraction form
    2,952.45/6,480.82 = 6,480.82/x
  3. Step 3: Cross multiply
    2,952.45x = 6,480.82 × 6,480.82
  4. Step 4: Simplify right side
    2,952.45x = 42,001,031.92
  5. Step 5: Solve for x
    x = 42,001,031.92/2,952.45
  6. Step 6: Final answer
    x = 14,225.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.