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Finding the Third Proportional to 1,180.69 and 2,564.44

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Solution

The third proportional to 1,180.69 and 2,564.44 is: 5,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.69 : 2,564.44 = 2,564.44 : x
  2. Step 2: Convert to fraction form
    1,180.69/2,564.44 = 2,564.44/x
  3. Step 3: Cross multiply
    1,180.69x = 2,564.44 × 2,564.44
  4. Step 4: Simplify right side
    1,180.69x = 6,576,339.69
  5. Step 5: Solve for x
    x = 6,576,339.69/1,180.69
  6. Step 6: Final answer
    x = 5,569.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.