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Finding the Third Proportional to 5,177.25 and 7,293.38

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Solution

The third proportional to 5,177.25 and 7,293.38 is: 10,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.25 : 7,293.38 = 7,293.38 : x
  2. Step 2: Convert to fraction form
    5,177.25/7,293.38 = 7,293.38/x
  3. Step 3: Cross multiply
    5,177.25x = 7,293.38 × 7,293.38
  4. Step 4: Simplify right side
    5,177.25x = 53,193,318.89
  5. Step 5: Solve for x
    x = 53,193,318.89/5,177.25
  6. Step 6: Final answer
    x = 10,274.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.