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Finding the Third Proportional to 8,946.56 and 20,556.56

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Solution

The third proportional to 8,946.56 and 20,556.56 is: 47,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.56 : 20,556.56 = 20,556.56 : x
  2. Step 2: Convert to fraction form
    8,946.56/20,556.56 = 20,556.56/x
  3. Step 3: Cross multiply
    8,946.56x = 20,556.56 × 20,556.56
  4. Step 4: Simplify right side
    8,946.56x = 422,572,261.82
  5. Step 5: Solve for x
    x = 422,572,261.82/8,946.56
  6. Step 6: Final answer
    x = 47,232.92

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.