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Finding the Third Proportional to 18,797.25 and 27,307.50

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Solution

The third proportional to 18,797.25 and 27,307.50 is: 39,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,797.25 : 27,307.50 = 27,307.50 : x
  2. Step 2: Convert to fraction form
    18,797.25/27,307.50 = 27,307.50/x
  3. Step 3: Cross multiply
    18,797.25x = 27,307.50 × 27,307.50
  4. Step 4: Simplify right side
    18,797.25x = 745,699,556.25
  5. Step 5: Solve for x
    x = 745,699,556.25/18,797.25
  6. Step 6: Final answer
    x = 39,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.