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Finding the Third Proportional to 9,396.50 and 20,089

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Solution

The third proportional to 9,396.50 and 20,089 is: 42,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.50 : 20,089 = 20,089 : x
  2. Step 2: Convert to fraction form
    9,396.50/20,089 = 20,089/x
  3. Step 3: Cross multiply
    9,396.50x = 20,089 × 20,089
  4. Step 4: Simplify right side
    9,396.50x = 403,567,921
  5. Step 5: Solve for x
    x = 403,567,921/9,396.50
  6. Step 6: Final answer
    x = 42,948.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.