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Finding the Third Proportional to 5,671.69 and 7,371.84

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Solution

The third proportional to 5,671.69 and 7,371.84 is: 9,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.69 : 7,371.84 = 7,371.84 : x
  2. Step 2: Convert to fraction form
    5,671.69/7,371.84 = 7,371.84/x
  3. Step 3: Cross multiply
    5,671.69x = 7,371.84 × 7,371.84
  4. Step 4: Simplify right side
    5,671.69x = 54,344,080.27
  5. Step 5: Solve for x
    x = 54,344,080.27/5,671.69
  6. Step 6: Final answer
    x = 9,581.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.