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Finding the Third Proportional to 5,374.69 and 7,274.81

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Solution

The third proportional to 5,374.69 and 7,274.81 is: 9,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.69 : 7,274.81 = 7,274.81 : x
  2. Step 2: Convert to fraction form
    5,374.69/7,274.81 = 7,274.81/x
  3. Step 3: Cross multiply
    5,374.69x = 7,274.81 × 7,274.81
  4. Step 4: Simplify right side
    5,374.69x = 52,922,896.91
  5. Step 5: Solve for x
    x = 52,922,896.91/5,374.69
  6. Step 6: Final answer
    x = 9,846.69

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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.