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Finding the Third Proportional to 6,536 and 9,818

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Solution

The third proportional to 6,536 and 9,818 is: 14,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 9,818 = 9,818 : x
  2. Step 2: Convert to fraction form
    6,536/9,818 = 9,818/x
  3. Step 3: Cross multiply
    6,536x = 9,818 × 9,818
  4. Step 4: Simplify right side
    6,536x = 96,393,124
  5. Step 5: Solve for x
    x = 96,393,124/6,536
  6. Step 6: Final answer
    x = 14,748.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.