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Finding the Third Proportional to 6,476 and 9,769

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Solution

The third proportional to 6,476 and 9,769 is: 14,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 9,769 = 9,769 : x
  2. Step 2: Convert to fraction form
    6,476/9,769 = 9,769/x
  3. Step 3: Cross multiply
    6,476x = 9,769 × 9,769
  4. Step 4: Simplify right side
    6,476x = 95,433,361
  5. Step 5: Solve for x
    x = 95,433,361/6,476
  6. Step 6: Final answer
    x = 14,736.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.