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Finding the Third Proportional to 1,962.94 and 4,743.56

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Solution

The third proportional to 1,962.94 and 4,743.56 is: 11,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.94 : 4,743.56 = 4,743.56 : x
  2. Step 2: Convert to fraction form
    1,962.94/4,743.56 = 4,743.56/x
  3. Step 3: Cross multiply
    1,962.94x = 4,743.56 × 4,743.56
  4. Step 4: Simplify right side
    1,962.94x = 22,501,385.19
  5. Step 5: Solve for x
    x = 22,501,385.19/1,962.94
  6. Step 6: Final answer
    x = 11,463.12

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.