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Finding the Third Proportional to 2,163 and 4,746.75

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Solution

The third proportional to 2,163 and 4,746.75 is: 10,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 4,746.75 = 4,746.75 : x
  2. Step 2: Convert to fraction form
    2,163/4,746.75 = 4,746.75/x
  3. Step 3: Cross multiply
    2,163x = 4,746.75 × 4,746.75
  4. Step 4: Simplify right side
    2,163x = 22,531,635.56
  5. Step 5: Solve for x
    x = 22,531,635.56/2,163
  6. Step 6: Final answer
    x = 10,416.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.