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Finding the Third Proportional to 4,546 and 7,036

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Solution

The third proportional to 4,546 and 7,036 is: 10,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546 : 7,036 = 7,036 : x
  2. Step 2: Convert to fraction form
    4,546/7,036 = 7,036/x
  3. Step 3: Cross multiply
    4,546x = 7,036 × 7,036
  4. Step 4: Simplify right side
    4,546x = 49,505,296
  5. Step 5: Solve for x
    x = 49,505,296/4,546
  6. Step 6: Final answer
    x = 10,889.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.