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Finding the Third Proportional to 8,346.50 and 17,993

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Solution

The third proportional to 8,346.50 and 17,993 is: 38,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.50 : 17,993 = 17,993 : x
  2. Step 2: Convert to fraction form
    8,346.50/17,993 = 17,993/x
  3. Step 3: Cross multiply
    8,346.50x = 17,993 × 17,993
  4. Step 4: Simplify right side
    8,346.50x = 323,748,049
  5. Step 5: Solve for x
    x = 323,748,049/8,346.50
  6. Step 6: Final answer
    x = 38,788.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.