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Finding the Third Proportional to 8,973 and 19,647

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Solution

The third proportional to 8,973 and 19,647 is: 43,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 19,647 = 19,647 : x
  2. Step 2: Convert to fraction form
    8,973/19,647 = 19,647/x
  3. Step 3: Cross multiply
    8,973x = 19,647 × 19,647
  4. Step 4: Simplify right side
    8,973x = 386,004,609
  5. Step 5: Solve for x
    x = 386,004,609/8,973
  6. Step 6: Final answer
    x = 43,018.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.