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Finding the Third Proportional to 824.63 and 1,824.75

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Solution

The third proportional to 824.63 and 1,824.75 is: 4,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,824.75 = 1,824.75 : x
  2. Step 2: Convert to fraction form
    824.63/1,824.75 = 1,824.75/x
  3. Step 3: Cross multiply
    824.63x = 1,824.75 × 1,824.75
  4. Step 4: Simplify right side
    824.63x = 3,329,712.56
  5. Step 5: Solve for x
    x = 3,329,712.56/824.63
  6. Step 6: Final answer
    x = 4,037.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.