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Finding the Third Proportional to 8,751.50 and 18,582.25

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Solution

The third proportional to 8,751.50 and 18,582.25 is: 39,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.50 : 18,582.25 = 18,582.25 : x
  2. Step 2: Convert to fraction form
    8,751.50/18,582.25 = 18,582.25/x
  3. Step 3: Cross multiply
    8,751.50x = 18,582.25 × 18,582.25
  4. Step 4: Simplify right side
    8,751.50x = 345,300,015.06
  5. Step 5: Solve for x
    x = 345,300,015.06/8,751.50
  6. Step 6: Final answer
    x = 39,456.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.