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Finding the Third Proportional to 828.75 and 2,004.56

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Solution

The third proportional to 828.75 and 2,004.56 is: 4,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.75 : 2,004.56 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    828.75/2,004.56 = 2,004.56/x
  3. Step 3: Cross multiply
    828.75x = 2,004.56 × 2,004.56
  4. Step 4: Simplify right side
    828.75x = 4,018,270.82
  5. Step 5: Solve for x
    x = 4,018,270.82/828.75
  6. Step 6: Final answer
    x = 4,848.59

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.