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Finding the Third Proportional to 19,906 and 43,639

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Solution

The third proportional to 19,906 and 43,639 is: 95,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906 : 43,639 = 43,639 : x
  2. Step 2: Convert to fraction form
    19,906/43,639 = 43,639/x
  3. Step 3: Cross multiply
    19,906x = 43,639 × 43,639
  4. Step 4: Simplify right side
    19,906x = 1,904,362,321
  5. Step 5: Solve for x
    x = 1,904,362,321/19,906
  6. Step 6: Final answer
    x = 95,667.75

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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.