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Finding the Third Proportional to 23,101.88 and 33,036.19

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Solution

The third proportional to 23,101.88 and 33,036.19 is: 47,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.88 : 33,036.19 = 33,036.19 : x
  2. Step 2: Convert to fraction form
    23,101.88/33,036.19 = 33,036.19/x
  3. Step 3: Cross multiply
    23,101.88x = 33,036.19 × 33,036.19
  4. Step 4: Simplify right side
    23,101.88x = 1,091,389,684.54
  5. Step 5: Solve for x
    x = 1,091,389,684.54/23,101.88
  6. Step 6: Final answer
    x = 47,242.47

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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.