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Finding the Third Proportional to 19,398 and 42,073.50

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Solution

The third proportional to 19,398 and 42,073.50 is: 91,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398 : 42,073.50 = 42,073.50 : x
  2. Step 2: Convert to fraction form
    19,398/42,073.50 = 42,073.50/x
  3. Step 3: Cross multiply
    19,398x = 42,073.50 × 42,073.50
  4. Step 4: Simplify right side
    19,398x = 1,770,179,402.25
  5. Step 5: Solve for x
    x = 1,770,179,402.25/19,398
  6. Step 6: Final answer
    x = 91,255.77

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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.