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Finding the Third Proportional to 2,546.50 and 4,781

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Solution

The third proportional to 2,546.50 and 4,781 is: 8,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.50 : 4,781 = 4,781 : x
  2. Step 2: Convert to fraction form
    2,546.50/4,781 = 4,781/x
  3. Step 3: Cross multiply
    2,546.50x = 4,781 × 4,781
  4. Step 4: Simplify right side
    2,546.50x = 22,857,961
  5. Step 5: Solve for x
    x = 22,857,961/2,546.50
  6. Step 6: Final answer
    x = 8,976.23

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.