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Finding the Third Proportional to 11,858 and 17,818.50

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Solution

The third proportional to 11,858 and 17,818.50 is: 26,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858 : 17,818.50 = 17,818.50 : x
  2. Step 2: Convert to fraction form
    11,858/17,818.50 = 17,818.50/x
  3. Step 3: Cross multiply
    11,858x = 17,818.50 × 17,818.50
  4. Step 4: Simplify right side
    11,858x = 317,498,942.25
  5. Step 5: Solve for x
    x = 317,498,942.25/11,858
  6. Step 6: Final answer
    x = 26,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.