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Finding the Third Proportional to 23,808.38 and 51,199.88

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Solution

The third proportional to 23,808.38 and 51,199.88 is: 110,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.38 : 51,199.88 = 51,199.88 : x
  2. Step 2: Convert to fraction form
    23,808.38/51,199.88 = 51,199.88/x
  3. Step 3: Cross multiply
    23,808.38x = 51,199.88 × 51,199.88
  4. Step 4: Simplify right side
    23,808.38x = 2,621,427,200.02
  5. Step 5: Solve for x
    x = 2,621,427,200.02/23,808.38
  6. Step 6: Final answer
    x = 110,105.25

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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.