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Finding the Third Proportional to 2,962 and 6,500

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Solution

The third proportional to 2,962 and 6,500 is: 14,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962 : 6,500 = 6,500 : x
  2. Step 2: Convert to fraction form
    2,962/6,500 = 6,500/x
  3. Step 3: Cross multiply
    2,962x = 6,500 × 6,500
  4. Step 4: Simplify right side
    2,962x = 42,250,000
  5. Step 5: Solve for x
    x = 42,250,000/2,962
  6. Step 6: Final answer
    x = 14,264.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.