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Finding the Third Proportional to 18,711 and 25,636.50

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Solution

The third proportional to 18,711 and 25,636.50 is: 35,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711 : 25,636.50 = 25,636.50 : x
  2. Step 2: Convert to fraction form
    18,711/25,636.50 = 25,636.50/x
  3. Step 3: Cross multiply
    18,711x = 25,636.50 × 25,636.50
  4. Step 4: Simplify right side
    18,711x = 657,230,132.25
  5. Step 5: Solve for x
    x = 657,230,132.25/18,711
  6. Step 6: Final answer
    x = 35,125.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.