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Finding the Third Proportional to 7,647 and 15,987

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Solution

The third proportional to 7,647 and 15,987 is: 33,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647 : 15,987 = 15,987 : x
  2. Step 2: Convert to fraction form
    7,647/15,987 = 15,987/x
  3. Step 3: Cross multiply
    7,647x = 15,987 × 15,987
  4. Step 4: Simplify right side
    7,647x = 255,584,169
  5. Step 5: Solve for x
    x = 255,584,169/7,647
  6. Step 6: Final answer
    x = 33,422.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.