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Finding the Third Proportional to 2,334.63 and 5,015.26

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Solution

The third proportional to 2,334.63 and 5,015.26 is: 10,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.63 : 5,015.26 = 5,015.26 : x
  2. Step 2: Convert to fraction form
    2,334.63/5,015.26 = 5,015.26/x
  3. Step 3: Cross multiply
    2,334.63x = 5,015.26 × 5,015.26
  4. Step 4: Simplify right side
    2,334.63x = 25,152,798.68
  5. Step 5: Solve for x
    x = 25,152,798.68/2,334.63
  6. Step 6: Final answer
    x = 10,773.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.