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Finding the Third Proportional to 51,471 and 73,460.25

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Solution

The third proportional to 51,471 and 73,460.25 is: 104,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471 : 73,460.25 = 73,460.25 : x
  2. Step 2: Convert to fraction form
    51,471/73,460.25 = 73,460.25/x
  3. Step 3: Cross multiply
    51,471x = 73,460.25 × 73,460.25
  4. Step 4: Simplify right side
    51,471x = 5,396,408,330.06
  5. Step 5: Solve for x
    x = 5,396,408,330.06/51,471
  6. Step 6: Final answer
    x = 104,843.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.