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Finding the Third Proportional to 2,430.56 and 4,743.84

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Solution

The third proportional to 2,430.56 and 4,743.84 is: 9,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.56 : 4,743.84 = 4,743.84 : x
  2. Step 2: Convert to fraction form
    2,430.56/4,743.84 = 4,743.84/x
  3. Step 3: Cross multiply
    2,430.56x = 4,743.84 × 4,743.84
  4. Step 4: Simplify right side
    2,430.56x = 22,504,053.52
  5. Step 5: Solve for x
    x = 22,504,053.52/2,430.56
  6. Step 6: Final answer
    x = 9,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.