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Finding the Third Proportional to 2,887.69 and 4,650.56

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Solution

The third proportional to 2,887.69 and 4,650.56 is: 7,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.69 : 4,650.56 = 4,650.56 : x
  2. Step 2: Convert to fraction form
    2,887.69/4,650.56 = 4,650.56/x
  3. Step 3: Cross multiply
    2,887.69x = 4,650.56 × 4,650.56
  4. Step 4: Simplify right side
    2,887.69x = 21,627,731.57
  5. Step 5: Solve for x
    x = 21,627,731.57/2,887.69
  6. Step 6: Final answer
    x = 7,489.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.