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Finding the Third Proportional to 4,193 and 9,043

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Solution

The third proportional to 4,193 and 9,043 is: 19,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193 : 9,043 = 9,043 : x
  2. Step 2: Convert to fraction form
    4,193/9,043 = 9,043/x
  3. Step 3: Cross multiply
    4,193x = 9,043 × 9,043
  4. Step 4: Simplify right side
    4,193x = 81,775,849
  5. Step 5: Solve for x
    x = 81,775,849/4,193
  6. Step 6: Final answer
    x = 19,502.95

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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.