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Finding the Third Proportional to 2,436.25 and 5,261.75

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Solution

The third proportional to 2,436.25 and 5,261.75 is: 11,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.25 : 5,261.75 = 5,261.75 : x
  2. Step 2: Convert to fraction form
    2,436.25/5,261.75 = 5,261.75/x
  3. Step 3: Cross multiply
    2,436.25x = 5,261.75 × 5,261.75
  4. Step 4: Simplify right side
    2,436.25x = 27,686,013.06
  5. Step 5: Solve for x
    x = 27,686,013.06/2,436.25
  6. Step 6: Final answer
    x = 11,364.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.