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Finding the Third Proportional to 4,623.94 and 7,051.31

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Solution

The third proportional to 4,623.94 and 7,051.31 is: 10,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.94 : 7,051.31 = 7,051.31 : x
  2. Step 2: Convert to fraction form
    4,623.94/7,051.31 = 7,051.31/x
  3. Step 3: Cross multiply
    4,623.94x = 7,051.31 × 7,051.31
  4. Step 4: Simplify right side
    4,623.94x = 49,721,007.97
  5. Step 5: Solve for x
    x = 49,721,007.97/4,623.94
  6. Step 6: Final answer
    x = 10,752.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.