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Finding the Third Proportional to 4,556.25 and 9,542.81

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Solution

The third proportional to 4,556.25 and 9,542.81 is: 19,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.25 : 9,542.81 = 9,542.81 : x
  2. Step 2: Convert to fraction form
    4,556.25/9,542.81 = 9,542.81/x
  3. Step 3: Cross multiply
    4,556.25x = 9,542.81 × 9,542.81
  4. Step 4: Simplify right side
    4,556.25x = 91,065,270.41
  5. Step 5: Solve for x
    x = 91,065,270.41/4,556.25
  6. Step 6: Final answer
    x = 19,986.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.