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Finding the Third Proportional to 5,004.28 and 7,608.94

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Solution

The third proportional to 5,004.28 and 7,608.94 is: 11,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.28 : 7,608.94 = 7,608.94 : x
  2. Step 2: Convert to fraction form
    5,004.28/7,608.94 = 7,608.94/x
  3. Step 3: Cross multiply
    5,004.28x = 7,608.94 × 7,608.94
  4. Step 4: Simplify right side
    5,004.28x = 57,895,929.88
  5. Step 5: Solve for x
    x = 57,895,929.88/5,004.28
  6. Step 6: Final answer
    x = 11,569.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.