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Finding the Third Proportional to 23,880.75 and 51,284.25

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Solution

The third proportional to 23,880.75 and 51,284.25 is: 110,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880.75 : 51,284.25 = 51,284.25 : x
  2. Step 2: Convert to fraction form
    23,880.75/51,284.25 = 51,284.25/x
  3. Step 3: Cross multiply
    23,880.75x = 51,284.25 × 51,284.25
  4. Step 4: Simplify right side
    23,880.75x = 2,630,074,298.06
  5. Step 5: Solve for x
    x = 2,630,074,298.06/23,880.75
  6. Step 6: Final answer
    x = 110,133.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.