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Finding the Third Proportional to 4,872.66 and 10,671.75

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Solution

The third proportional to 4,872.66 and 10,671.75 is: 23,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.66 : 10,671.75 = 10,671.75 : x
  2. Step 2: Convert to fraction form
    4,872.66/10,671.75 = 10,671.75/x
  3. Step 3: Cross multiply
    4,872.66x = 10,671.75 × 10,671.75
  4. Step 4: Simplify right side
    4,872.66x = 113,886,248.06
  5. Step 5: Solve for x
    x = 113,886,248.06/4,872.66
  6. Step 6: Final answer
    x = 23,372.52

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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.