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Finding the Third Proportional to 953.81 and 2,089.69

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Solution

The third proportional to 953.81 and 2,089.69 is: 4,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.81 : 2,089.69 = 2,089.69 : x
  2. Step 2: Convert to fraction form
    953.81/2,089.69 = 2,089.69/x
  3. Step 3: Cross multiply
    953.81x = 2,089.69 × 2,089.69
  4. Step 4: Simplify right side
    953.81x = 4,366,793.85
  5. Step 5: Solve for x
    x = 4,366,793.85/953.81
  6. Step 6: Final answer
    x = 4,578.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.