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Finding the Third Proportional to 19,034 and 42,150

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Solution

The third proportional to 19,034 and 42,150 is: 93,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,034 : 42,150 = 42,150 : x
  2. Step 2: Convert to fraction form
    19,034/42,150 = 42,150/x
  3. Step 3: Cross multiply
    19,034x = 42,150 × 42,150
  4. Step 4: Simplify right side
    19,034x = 1,776,622,500
  5. Step 5: Solve for x
    x = 1,776,622,500/19,034
  6. Step 6: Final answer
    x = 93,339.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.