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Finding the Third Proportional to 7,944 and 19,212

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Solution

The third proportional to 7,944 and 19,212 is: 46,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944 : 19,212 = 19,212 : x
  2. Step 2: Convert to fraction form
    7,944/19,212 = 19,212/x
  3. Step 3: Cross multiply
    7,944x = 19,212 × 19,212
  4. Step 4: Simplify right side
    7,944x = 369,100,944
  5. Step 5: Solve for x
    x = 369,100,944/7,944
  6. Step 6: Final answer
    x = 46,462.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.