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Finding the Third Proportional to 19,680 and 42,990

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Solution

The third proportional to 19,680 and 42,990 is: 93,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 42,990 = 42,990 : x
  2. Step 2: Convert to fraction form
    19,680/42,990 = 42,990/x
  3. Step 3: Cross multiply
    19,680x = 42,990 × 42,990
  4. Step 4: Simplify right side
    19,680x = 1,848,140,100
  5. Step 5: Solve for x
    x = 1,848,140,100/19,680
  6. Step 6: Final answer
    x = 93,909.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.