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Finding the Third Proportional to 4,537.50 and 9,568.50

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Solution

The third proportional to 4,537.50 and 9,568.50 is: 20,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.50 : 9,568.50 = 9,568.50 : x
  2. Step 2: Convert to fraction form
    4,537.50/9,568.50 = 9,568.50/x
  3. Step 3: Cross multiply
    4,537.50x = 9,568.50 × 9,568.50
  4. Step 4: Simplify right side
    4,537.50x = 91,556,192.25
  5. Step 5: Solve for x
    x = 91,556,192.25/4,537.50
  6. Step 6: Final answer
    x = 20,177.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.