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Finding the Third Proportional to 3,143.07 and 4,660.35

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Solution

The third proportional to 3,143.07 and 4,660.35 is: 6,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.07 : 4,660.35 = 4,660.35 : x
  2. Step 2: Convert to fraction form
    3,143.07/4,660.35 = 4,660.35/x
  3. Step 3: Cross multiply
    3,143.07x = 4,660.35 × 4,660.35
  4. Step 4: Simplify right side
    3,143.07x = 21,718,840.28
  5. Step 5: Solve for x
    x = 21,718,840.28/3,143.07
  6. Step 6: Final answer
    x = 6,910.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.