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Finding the Third Proportional to 2,665.50 and 4,869

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Solution

The third proportional to 2,665.50 and 4,869 is: 8,894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.50 : 4,869 = 4,869 : x
  2. Step 2: Convert to fraction form
    2,665.50/4,869 = 4,869/x
  3. Step 3: Cross multiply
    2,665.50x = 4,869 × 4,869
  4. Step 4: Simplify right side
    2,665.50x = 23,707,161
  5. Step 5: Solve for x
    x = 23,707,161/2,665.50
  6. Step 6: Final answer
    x = 8,894.08

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.