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Finding the Third Proportional to 23,009.06 and 33,756.75

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Solution

The third proportional to 23,009.06 and 33,756.75 is: 49,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.06 : 33,756.75 = 33,756.75 : x
  2. Step 2: Convert to fraction form
    23,009.06/33,756.75 = 33,756.75/x
  3. Step 3: Cross multiply
    23,009.06x = 33,756.75 × 33,756.75
  4. Step 4: Simplify right side
    23,009.06x = 1,139,518,170.56
  5. Step 5: Solve for x
    x = 1,139,518,170.56/23,009.06
  6. Step 6: Final answer
    x = 49,524.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.