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Finding the Third Proportional to 5,768 and 12,616

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Solution

The third proportional to 5,768 and 12,616 is: 27,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 12,616 = 12,616 : x
  2. Step 2: Convert to fraction form
    5,768/12,616 = 12,616/x
  3. Step 3: Cross multiply
    5,768x = 12,616 × 12,616
  4. Step 4: Simplify right side
    5,768x = 159,163,456
  5. Step 5: Solve for x
    x = 159,163,456/5,768
  6. Step 6: Final answer
    x = 27,594.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.