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Finding the Third Proportional to 2,184.86 and 4,863.08

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Solution

The third proportional to 2,184.86 and 4,863.08 is: 10,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.86 : 4,863.08 = 4,863.08 : x
  2. Step 2: Convert to fraction form
    2,184.86/4,863.08 = 4,863.08/x
  3. Step 3: Cross multiply
    2,184.86x = 4,863.08 × 4,863.08
  4. Step 4: Simplify right side
    2,184.86x = 23,649,595.34
  5. Step 5: Solve for x
    x = 23,649,595.34/2,184.86
  6. Step 6: Final answer
    x = 10,824.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.