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Finding the Third Proportional to 5,853.75 and 7,581.56

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Solution

The third proportional to 5,853.75 and 7,581.56 is: 9,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.75 : 7,581.56 = 7,581.56 : x
  2. Step 2: Convert to fraction form
    5,853.75/7,581.56 = 7,581.56/x
  3. Step 3: Cross multiply
    5,853.75x = 7,581.56 × 7,581.56
  4. Step 4: Simplify right side
    5,853.75x = 57,480,089.94
  5. Step 5: Solve for x
    x = 57,480,089.94/5,853.75
  6. Step 6: Final answer
    x = 9,819.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.