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Finding the Third Proportional to 9,747 and 11,178

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Solution

The third proportional to 9,747 and 11,178 is: 12,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747 : 11,178 = 11,178 : x
  2. Step 2: Convert to fraction form
    9,747/11,178 = 11,178/x
  3. Step 3: Cross multiply
    9,747x = 11,178 × 11,178
  4. Step 4: Simplify right side
    9,747x = 124,947,684
  5. Step 5: Solve for x
    x = 124,947,684/9,747
  6. Step 6: Final answer
    x = 12,819.09

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.