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Finding the Third Proportional to 18,548.37 and 43,741.48

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Solution

The third proportional to 18,548.37 and 43,741.48 is: 103,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.37 : 43,741.48 = 43,741.48 : x
  2. Step 2: Convert to fraction form
    18,548.37/43,741.48 = 43,741.48/x
  3. Step 3: Cross multiply
    18,548.37x = 43,741.48 × 43,741.48
  4. Step 4: Simplify right side
    18,548.37x = 1,913,316,771.87
  5. Step 5: Solve for x
    x = 1,913,316,771.87/18,548.37
  6. Step 6: Final answer
    x = 103,152.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.