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Finding the Third Proportional to 11,917.50 and 23,535.75

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Solution

The third proportional to 11,917.50 and 23,535.75 is: 46,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.50 : 23,535.75 = 23,535.75 : x
  2. Step 2: Convert to fraction form
    11,917.50/23,535.75 = 23,535.75/x
  3. Step 3: Cross multiply
    11,917.50x = 23,535.75 × 23,535.75
  4. Step 4: Simplify right side
    11,917.50x = 553,931,528.06
  5. Step 5: Solve for x
    x = 553,931,528.06/11,917.50
  6. Step 6: Final answer
    x = 46,480.51

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.