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Finding the Third Proportional to 2,036 and 4,853

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Solution

The third proportional to 2,036 and 4,853 is: 11,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 4,853 = 4,853 : x
  2. Step 2: Convert to fraction form
    2,036/4,853 = 4,853/x
  3. Step 3: Cross multiply
    2,036x = 4,853 × 4,853
  4. Step 4: Simplify right side
    2,036x = 23,551,609
  5. Step 5: Solve for x
    x = 23,551,609/2,036
  6. Step 6: Final answer
    x = 11,567.59

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.