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Finding the Third Proportional to 30,054 and 47,144

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Solution

The third proportional to 30,054 and 47,144 is: 73,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054 : 47,144 = 47,144 : x
  2. Step 2: Convert to fraction form
    30,054/47,144 = 47,144/x
  3. Step 3: Cross multiply
    30,054x = 47,144 × 47,144
  4. Step 4: Simplify right side
    30,054x = 2,222,556,736
  5. Step 5: Solve for x
    x = 2,222,556,736/30,054
  6. Step 6: Final answer
    x = 73,952.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.