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Finding the Third Proportional to 19,669 and 42,794

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Solution

The third proportional to 19,669 and 42,794 is: 93,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669 : 42,794 = 42,794 : x
  2. Step 2: Convert to fraction form
    19,669/42,794 = 42,794/x
  3. Step 3: Cross multiply
    19,669x = 42,794 × 42,794
  4. Step 4: Simplify right side
    19,669x = 1,831,326,436
  5. Step 5: Solve for x
    x = 1,831,326,436/19,669
  6. Step 6: Final answer
    x = 93,107.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.