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Finding the Third Proportional to 18,015.75 and 38,633.63

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Solution

The third proportional to 18,015.75 and 38,633.63 is: 82,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,015.75 : 38,633.63 = 38,633.63 : x
  2. Step 2: Convert to fraction form
    18,015.75/38,633.63 = 38,633.63/x
  3. Step 3: Cross multiply
    18,015.75x = 38,633.63 × 38,633.63
  4. Step 4: Simplify right side
    18,015.75x = 1,492,556,980.64
  5. Step 5: Solve for x
    x = 1,492,556,980.64/18,015.75
  6. Step 6: Final answer
    x = 82,847.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.