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Finding the Third Proportional to 1,584.84 and 2,377.55

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Solution

The third proportional to 1,584.84 and 2,377.55 is: 3,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.84 : 2,377.55 = 2,377.55 : x
  2. Step 2: Convert to fraction form
    1,584.84/2,377.55 = 2,377.55/x
  3. Step 3: Cross multiply
    1,584.84x = 2,377.55 × 2,377.55
  4. Step 4: Simplify right side
    1,584.84x = 5,652,729.14
  5. Step 5: Solve for x
    x = 5,652,729.14/1,584.84
  6. Step 6: Final answer
    x = 3,566.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.