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Finding the Third Proportional to 24,009.75 and 35,091.56

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Solution

The third proportional to 24,009.75 and 35,091.56 is: 51,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.75 : 35,091.56 = 35,091.56 : x
  2. Step 2: Convert to fraction form
    24,009.75/35,091.56 = 35,091.56/x
  3. Step 3: Cross multiply
    24,009.75x = 35,091.56 × 35,091.56
  4. Step 4: Simplify right side
    24,009.75x = 1,231,417,758.69
  5. Step 5: Solve for x
    x = 1,231,417,758.69/24,009.75
  6. Step 6: Final answer
    x = 51,288.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.