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Finding the Third Proportional to 23,182.88 and 32,749.31

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Solution

The third proportional to 23,182.88 and 32,749.31 is: 46,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.88 : 32,749.31 = 32,749.31 : x
  2. Step 2: Convert to fraction form
    23,182.88/32,749.31 = 32,749.31/x
  3. Step 3: Cross multiply
    23,182.88x = 32,749.31 × 32,749.31
  4. Step 4: Simplify right side
    23,182.88x = 1,072,517,469.22
  5. Step 5: Solve for x
    x = 1,072,517,469.22/23,182.88
  6. Step 6: Final answer
    x = 46,263.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.