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Finding the Third Proportional to 18,041 and 39,403

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Solution

The third proportional to 18,041 and 39,403 is: 86,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041 : 39,403 = 39,403 : x
  2. Step 2: Convert to fraction form
    18,041/39,403 = 39,403/x
  3. Step 3: Cross multiply
    18,041x = 39,403 × 39,403
  4. Step 4: Simplify right side
    18,041x = 1,552,596,409
  5. Step 5: Solve for x
    x = 1,552,596,409/18,041
  6. Step 6: Final answer
    x = 86,059.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.