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Finding the Third Proportional to 2,699.16 and 5,616.28

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Solution

The third proportional to 2,699.16 and 5,616.28 is: 11,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.16 : 5,616.28 = 5,616.28 : x
  2. Step 2: Convert to fraction form
    2,699.16/5,616.28 = 5,616.28/x
  3. Step 3: Cross multiply
    2,699.16x = 5,616.28 × 5,616.28
  4. Step 4: Simplify right side
    2,699.16x = 31,542,615.08
  5. Step 5: Solve for x
    x = 31,542,615.08/2,699.16
  6. Step 6: Final answer
    x = 11,686.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.