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Finding the Third Proportional to 5,032.75 and 10,564.75

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Solution

The third proportional to 5,032.75 and 10,564.75 is: 22,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.75 : 10,564.75 = 10,564.75 : x
  2. Step 2: Convert to fraction form
    5,032.75/10,564.75 = 10,564.75/x
  3. Step 3: Cross multiply
    5,032.75x = 10,564.75 × 10,564.75
  4. Step 4: Simplify right side
    5,032.75x = 111,613,942.56
  5. Step 5: Solve for x
    x = 111,613,942.56/5,032.75
  6. Step 6: Final answer
    x = 22,177.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.