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Finding the Third Proportional to 4,793.25 and 7,364.63

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Solution

The third proportional to 4,793.25 and 7,364.63 is: 11,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.25 : 7,364.63 = 7,364.63 : x
  2. Step 2: Convert to fraction form
    4,793.25/7,364.63 = 7,364.63/x
  3. Step 3: Cross multiply
    4,793.25x = 7,364.63 × 7,364.63
  4. Step 4: Simplify right side
    4,793.25x = 54,237,701.39
  5. Step 5: Solve for x
    x = 54,237,701.39/4,793.25
  6. Step 6: Final answer
    x = 11,315.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.