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Finding the Third Proportional to 18,868 and 42,602

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Solution

The third proportional to 18,868 and 42,602 is: 96,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,868 : 42,602 = 42,602 : x
  2. Step 2: Convert to fraction form
    18,868/42,602 = 42,602/x
  3. Step 3: Cross multiply
    18,868x = 42,602 × 42,602
  4. Step 4: Simplify right side
    18,868x = 1,814,930,404
  5. Step 5: Solve for x
    x = 1,814,930,404/18,868
  6. Step 6: Final answer
    x = 96,190.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.