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Finding the Third Proportional to 18,537.19 and 43,741.69

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Solution

The third proportional to 18,537.19 and 43,741.69 is: 103,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.19 : 43,741.69 = 43,741.69 : x
  2. Step 2: Convert to fraction form
    18,537.19/43,741.69 = 43,741.69/x
  3. Step 3: Cross multiply
    18,537.19x = 43,741.69 × 43,741.69
  4. Step 4: Simplify right side
    18,537.19x = 1,913,335,225.35
  5. Step 5: Solve for x
    x = 1,913,335,225.35/18,537.19
  6. Step 6: Final answer
    x = 103,216.05

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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.