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Finding the Third Proportional to 5,516.25 and 11,959.13

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Solution

The third proportional to 5,516.25 and 11,959.13 is: 25,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516.25 : 11,959.13 = 11,959.13 : x
  2. Step 2: Convert to fraction form
    5,516.25/11,959.13 = 11,959.13/x
  3. Step 3: Cross multiply
    5,516.25x = 11,959.13 × 11,959.13
  4. Step 4: Simplify right side
    5,516.25x = 143,020,670.77
  5. Step 5: Solve for x
    x = 143,020,670.77/5,516.25
  6. Step 6: Final answer
    x = 25,927.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.