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Finding the Third Proportional to 23,830.50 and 50,931.75

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Solution

The third proportional to 23,830.50 and 50,931.75 is: 108,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.50 : 50,931.75 = 50,931.75 : x
  2. Step 2: Convert to fraction form
    23,830.50/50,931.75 = 50,931.75/x
  3. Step 3: Cross multiply
    23,830.50x = 50,931.75 × 50,931.75
  4. Step 4: Simplify right side
    23,830.50x = 2,594,043,158.06
  5. Step 5: Solve for x
    x = 2,594,043,158.06/23,830.50
  6. Step 6: Final answer
    x = 108,853.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.