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Finding the Third Proportional to 4,277.23 and 5,721.42

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Solution

The third proportional to 4,277.23 and 5,721.42 is: 7,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.23 : 5,721.42 = 5,721.42 : x
  2. Step 2: Convert to fraction form
    4,277.23/5,721.42 = 5,721.42/x
  3. Step 3: Cross multiply
    4,277.23x = 5,721.42 × 5,721.42
  4. Step 4: Simplify right side
    4,277.23x = 32,734,601.22
  5. Step 5: Solve for x
    x = 32,734,601.22/4,277.23
  6. Step 6: Final answer
    x = 7,653.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.