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Finding the Third Proportional to 4,536 and 6,500

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Solution

The third proportional to 4,536 and 6,500 is: 9,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 6,500 = 6,500 : x
  2. Step 2: Convert to fraction form
    4,536/6,500 = 6,500/x
  3. Step 3: Cross multiply
    4,536x = 6,500 × 6,500
  4. Step 4: Simplify right side
    4,536x = 42,250,000
  5. Step 5: Solve for x
    x = 42,250,000/4,536
  6. Step 6: Final answer
    x = 9,314.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.