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Finding the Third Proportional to 5,438.25 and 7,347.38

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Solution

The third proportional to 5,438.25 and 7,347.38 is: 9,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.25 : 7,347.38 = 7,347.38 : x
  2. Step 2: Convert to fraction form
    5,438.25/7,347.38 = 7,347.38/x
  3. Step 3: Cross multiply
    5,438.25x = 7,347.38 × 7,347.38
  4. Step 4: Simplify right side
    5,438.25x = 53,983,919.39
  5. Step 5: Solve for x
    x = 53,983,919.39/5,438.25
  6. Step 6: Final answer
    x = 9,926.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.