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Finding the Third Proportional to 5,083.59 and 10,556.16

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Solution

The third proportional to 5,083.59 and 10,556.16 is: 21,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.59 : 10,556.16 = 10,556.16 : x
  2. Step 2: Convert to fraction form
    5,083.59/10,556.16 = 10,556.16/x
  3. Step 3: Cross multiply
    5,083.59x = 10,556.16 × 10,556.16
  4. Step 4: Simplify right side
    5,083.59x = 111,432,434.77
  5. Step 5: Solve for x
    x = 111,432,434.77/5,083.59
  6. Step 6: Final answer
    x = 21,920.01

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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.