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Finding the Third Proportional to 19,980 and 42,390

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Solution

The third proportional to 19,980 and 42,390 is: 89,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 42,390 = 42,390 : x
  2. Step 2: Convert to fraction form
    19,980/42,390 = 42,390/x
  3. Step 3: Cross multiply
    19,980x = 42,390 × 42,390
  4. Step 4: Simplify right side
    19,980x = 1,796,912,100
  5. Step 5: Solve for x
    x = 1,796,912,100/19,980
  6. Step 6: Final answer
    x = 89,935.54

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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.