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Finding the Third Proportional to 4,096 and 8,791

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Solution

The third proportional to 4,096 and 8,791 is: 18,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096 : 8,791 = 8,791 : x
  2. Step 2: Convert to fraction form
    4,096/8,791 = 8,791/x
  3. Step 3: Cross multiply
    4,096x = 8,791 × 8,791
  4. Step 4: Simplify right side
    4,096x = 77,281,681
  5. Step 5: Solve for x
    x = 77,281,681/4,096
  6. Step 6: Final answer
    x = 18,867.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.