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Finding the Third Proportional to 23,110.88 and 33,024.94

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Solution

The third proportional to 23,110.88 and 33,024.94 is: 47,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110.88 : 33,024.94 = 33,024.94 : x
  2. Step 2: Convert to fraction form
    23,110.88/33,024.94 = 33,024.94/x
  3. Step 3: Cross multiply
    23,110.88x = 33,024.94 × 33,024.94
  4. Step 4: Simplify right side
    23,110.88x = 1,090,646,496.88
  5. Step 5: Solve for x
    x = 1,090,646,496.88/23,110.88
  6. Step 6: Final answer
    x = 47,191.92

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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.