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Finding the Third Proportional to 19,746 and 43,183

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Solution

The third proportional to 19,746 and 43,183 is: 94,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 43,183 = 43,183 : x
  2. Step 2: Convert to fraction form
    19,746/43,183 = 43,183/x
  3. Step 3: Cross multiply
    19,746x = 43,183 × 43,183
  4. Step 4: Simplify right side
    19,746x = 1,864,771,489
  5. Step 5: Solve for x
    x = 1,864,771,489/19,746
  6. Step 6: Final answer
    x = 94,437.94

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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.