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Finding the Third Proportional to 19,969 and 42,373

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Solution

The third proportional to 19,969 and 42,373 is: 89,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969 : 42,373 = 42,373 : x
  2. Step 2: Convert to fraction form
    19,969/42,373 = 42,373/x
  3. Step 3: Cross multiply
    19,969x = 42,373 × 42,373
  4. Step 4: Simplify right side
    19,969x = 1,795,471,129
  5. Step 5: Solve for x
    x = 1,795,471,129/19,969
  6. Step 6: Final answer
    x = 89,912.92

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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.