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Finding the Third Proportional to 9,294.75 and 20,298.09

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Solution

The third proportional to 9,294.75 and 20,298.09 is: 44,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.75 : 20,298.09 = 20,298.09 : x
  2. Step 2: Convert to fraction form
    9,294.75/20,298.09 = 20,298.09/x
  3. Step 3: Cross multiply
    9,294.75x = 20,298.09 × 20,298.09
  4. Step 4: Simplify right side
    9,294.75x = 412,012,609.88
  5. Step 5: Solve for x
    x = 412,012,609.88/9,294.75
  6. Step 6: Final answer
    x = 44,327.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.