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Finding the Third Proportional to 19,940 and 42,980

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Solution

The third proportional to 19,940 and 42,980 is: 92,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940 : 42,980 = 42,980 : x
  2. Step 2: Convert to fraction form
    19,940/42,980 = 42,980/x
  3. Step 3: Cross multiply
    19,940x = 42,980 × 42,980
  4. Step 4: Simplify right side
    19,940x = 1,847,280,400
  5. Step 5: Solve for x
    x = 1,847,280,400/19,940
  6. Step 6: Final answer
    x = 92,641.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.