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Finding the Third Proportional to 5,234.63 and 10,671.75

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Solution

The third proportional to 5,234.63 and 10,671.75 is: 21,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.63 : 10,671.75 = 10,671.75 : x
  2. Step 2: Convert to fraction form
    5,234.63/10,671.75 = 10,671.75/x
  3. Step 3: Cross multiply
    5,234.63x = 10,671.75 × 10,671.75
  4. Step 4: Simplify right side
    5,234.63x = 113,886,248.06
  5. Step 5: Solve for x
    x = 113,886,248.06/5,234.63
  6. Step 6: Final answer
    x = 21,756.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.