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Finding the Third Proportional to 847.76 and 1,823.34

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Solution

The third proportional to 847.76 and 1,823.34 is: 3,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.76 : 1,823.34 = 1,823.34 : x
  2. Step 2: Convert to fraction form
    847.76/1,823.34 = 1,823.34/x
  3. Step 3: Cross multiply
    847.76x = 1,823.34 × 1,823.34
  4. Step 4: Simplify right side
    847.76x = 3,324,582.43
  5. Step 5: Solve for x
    x = 3,324,582.43/847.76
  6. Step 6: Final answer
    x = 3,921.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.