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Finding the Third Proportional to 11,194 and 19,760

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Solution

The third proportional to 11,194 and 19,760 is: 34,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194 : 19,760 = 19,760 : x
  2. Step 2: Convert to fraction form
    11,194/19,760 = 19,760/x
  3. Step 3: Cross multiply
    11,194x = 19,760 × 19,760
  4. Step 4: Simplify right side
    11,194x = 390,457,600
  5. Step 5: Solve for x
    x = 390,457,600/11,194
  6. Step 6: Final answer
    x = 34,880.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.