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Finding the Third Proportional to 18,789 and 40,535

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Solution

The third proportional to 18,789 and 40,535 is: 87,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,789 : 40,535 = 40,535 : x
  2. Step 2: Convert to fraction form
    18,789/40,535 = 40,535/x
  3. Step 3: Cross multiply
    18,789x = 40,535 × 40,535
  4. Step 4: Simplify right side
    18,789x = 1,643,086,225
  5. Step 5: Solve for x
    x = 1,643,086,225/18,789
  6. Step 6: Final answer
    x = 87,449.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.