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Finding the Third Proportional to 1,864 and 5,036

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Solution

The third proportional to 1,864 and 5,036 is: 13,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864 : 5,036 = 5,036 : x
  2. Step 2: Convert to fraction form
    1,864/5,036 = 5,036/x
  3. Step 3: Cross multiply
    1,864x = 5,036 × 5,036
  4. Step 4: Simplify right side
    1,864x = 25,361,296
  5. Step 5: Solve for x
    x = 25,361,296/1,864
  6. Step 6: Final answer
    x = 13,605.85

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.