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Finding the Third Proportional to 18,536.98 and 43,740.63

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Solution

The third proportional to 18,536.98 and 43,740.63 is: 103,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.98 : 43,740.63 = 43,740.63 : x
  2. Step 2: Convert to fraction form
    18,536.98/43,740.63 = 43,740.63/x
  3. Step 3: Cross multiply
    18,536.98x = 43,740.63 × 43,740.63
  4. Step 4: Simplify right side
    18,536.98x = 1,913,242,958.84
  5. Step 5: Solve for x
    x = 1,913,242,958.84/18,536.98
  6. Step 6: Final answer
    x = 103,212.24

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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.