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Finding the Third Proportional to 2,526.82 and 5,179.57

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Solution

The third proportional to 2,526.82 and 5,179.57 is: 10,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.82 : 5,179.57 = 5,179.57 : x
  2. Step 2: Convert to fraction form
    2,526.82/5,179.57 = 5,179.57/x
  3. Step 3: Cross multiply
    2,526.82x = 5,179.57 × 5,179.57
  4. Step 4: Simplify right side
    2,526.82x = 26,827,948.62
  5. Step 5: Solve for x
    x = 26,827,948.62/2,526.82
  6. Step 6: Final answer
    x = 10,617.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.