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Finding the Third Proportional to 23,880 and 51,283.88

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Solution

The third proportional to 23,880 and 51,283.88 is: 110,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880 : 51,283.88 = 51,283.88 : x
  2. Step 2: Convert to fraction form
    23,880/51,283.88 = 51,283.88/x
  3. Step 3: Cross multiply
    23,880x = 51,283.88 × 51,283.88
  4. Step 4: Simplify right side
    23,880x = 2,630,035,835.02
  5. Step 5: Solve for x
    x = 2,630,035,835.02/23,880
  6. Step 6: Final answer
    x = 110,135.50

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Why These Related Problems?

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