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Finding the Third Proportional to 19,434 and 42,100

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Solution

The third proportional to 19,434 and 42,100 is: 91,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434 : 42,100 = 42,100 : x
  2. Step 2: Convert to fraction form
    19,434/42,100 = 42,100/x
  3. Step 3: Cross multiply
    19,434x = 42,100 × 42,100
  4. Step 4: Simplify right side
    19,434x = 1,772,410,000
  5. Step 5: Solve for x
    x = 1,772,410,000/19,434
  6. Step 6: Final answer
    x = 91,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.