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Finding the Third Proportional to 23,189.63 and 33,498.56

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Solution

The third proportional to 23,189.63 and 33,498.56 is: 48,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.63 : 33,498.56 = 33,498.56 : x
  2. Step 2: Convert to fraction form
    23,189.63/33,498.56 = 33,498.56/x
  3. Step 3: Cross multiply
    23,189.63x = 33,498.56 × 33,498.56
  4. Step 4: Simplify right side
    23,189.63x = 1,122,153,689.57
  5. Step 5: Solve for x
    x = 1,122,153,689.57/23,189.63
  6. Step 6: Final answer
    x = 48,390.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.