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Finding the Third Proportional to 4,743.25 and 7,076.43

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Solution

The third proportional to 4,743.25 and 7,076.43 is: 10,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.25 : 7,076.43 = 7,076.43 : x
  2. Step 2: Convert to fraction form
    4,743.25/7,076.43 = 7,076.43/x
  3. Step 3: Cross multiply
    4,743.25x = 7,076.43 × 7,076.43
  4. Step 4: Simplify right side
    4,743.25x = 50,075,801.84
  5. Step 5: Solve for x
    x = 50,075,801.84/4,743.25
  6. Step 6: Final answer
    x = 10,557.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.