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Finding the Third Proportional to 19,868 and 42,105

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Solution

The third proportional to 19,868 and 42,105 is: 89,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868 : 42,105 = 42,105 : x
  2. Step 2: Convert to fraction form
    19,868/42,105 = 42,105/x
  3. Step 3: Cross multiply
    19,868x = 42,105 × 42,105
  4. Step 4: Simplify right side
    19,868x = 1,772,831,025
  5. Step 5: Solve for x
    x = 1,772,831,025/19,868
  6. Step 6: Final answer
    x = 89,230.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.