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Finding the Third Proportional to 23,111.63 and 33,026.63

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Solution

The third proportional to 23,111.63 and 33,026.63 is: 47,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.63 : 33,026.63 = 33,026.63 : x
  2. Step 2: Convert to fraction form
    23,111.63/33,026.63 = 33,026.63/x
  3. Step 3: Cross multiply
    23,111.63x = 33,026.63 × 33,026.63
  4. Step 4: Simplify right side
    23,111.63x = 1,090,757,958.89
  5. Step 5: Solve for x
    x = 1,090,757,958.89/23,111.63
  6. Step 6: Final answer
    x = 47,195.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.