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Finding the Third Proportional to 5,648 and 11,024

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Solution

The third proportional to 5,648 and 11,024 is: 21,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 11,024 = 11,024 : x
  2. Step 2: Convert to fraction form
    5,648/11,024 = 11,024/x
  3. Step 3: Cross multiply
    5,648x = 11,024 × 11,024
  4. Step 4: Simplify right side
    5,648x = 121,528,576
  5. Step 5: Solve for x
    x = 121,528,576/5,648
  6. Step 6: Final answer
    x = 21,517.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.