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Finding the Third Proportional to 9,269.44 and 20,430.56

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Solution

The third proportional to 9,269.44 and 20,430.56 is: 45,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.44 : 20,430.56 = 20,430.56 : x
  2. Step 2: Convert to fraction form
    9,269.44/20,430.56 = 20,430.56/x
  3. Step 3: Cross multiply
    9,269.44x = 20,430.56 × 20,430.56
  4. Step 4: Simplify right side
    9,269.44x = 417,407,884.07
  5. Step 5: Solve for x
    x = 417,407,884.07/9,269.44
  6. Step 6: Final answer
    x = 45,030.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.