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Finding the Third Proportional to 23,558.06 and 51,271.31

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Solution

The third proportional to 23,558.06 and 51,271.31 is: 111,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,558.06 : 51,271.31 = 51,271.31 : x
  2. Step 2: Convert to fraction form
    23,558.06/51,271.31 = 51,271.31/x
  3. Step 3: Cross multiply
    23,558.06x = 51,271.31 × 51,271.31
  4. Step 4: Simplify right side
    23,558.06x = 2,628,747,485.47
  5. Step 5: Solve for x
    x = 2,628,747,485.47/23,558.06
  6. Step 6: Final answer
    x = 111,585.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.