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Finding the Third Proportional to 23,844.38 and 40,611.38

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Solution

The third proportional to 23,844.38 and 40,611.38 is: 69,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.38 : 40,611.38 = 40,611.38 : x
  2. Step 2: Convert to fraction form
    23,844.38/40,611.38 = 40,611.38/x
  3. Step 3: Cross multiply
    23,844.38x = 40,611.38 × 40,611.38
  4. Step 4: Simplify right side
    23,844.38x = 1,649,283,779.39
  5. Step 5: Solve for x
    x = 1,649,283,779.39/23,844.38
  6. Step 6: Final answer
    x = 69,168.67

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.