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Finding the Third Proportional to 5,634 and 8,769

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Solution

The third proportional to 5,634 and 8,769 is: 13,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634 : 8,769 = 8,769 : x
  2. Step 2: Convert to fraction form
    5,634/8,769 = 8,769/x
  3. Step 3: Cross multiply
    5,634x = 8,769 × 8,769
  4. Step 4: Simplify right side
    5,634x = 76,895,361
  5. Step 5: Solve for x
    x = 76,895,361/5,634
  6. Step 6: Final answer
    x = 13,648.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.