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Finding the Third Proportional to 21,794.06 and 30,663.56

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Solution

The third proportional to 21,794.06 and 30,663.56 is: 43,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.06 : 30,663.56 = 30,663.56 : x
  2. Step 2: Convert to fraction form
    21,794.06/30,663.56 = 30,663.56/x
  3. Step 3: Cross multiply
    21,794.06x = 30,663.56 × 30,663.56
  4. Step 4: Simplify right side
    21,794.06x = 940,254,065.19
  5. Step 5: Solve for x
    x = 940,254,065.19/21,794.06
  6. Step 6: Final answer
    x = 43,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.