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Finding the Third Proportional to 4,298.25 and 9,426.75

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Solution

The third proportional to 4,298.25 and 9,426.75 is: 20,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.25 : 9,426.75 = 9,426.75 : x
  2. Step 2: Convert to fraction form
    4,298.25/9,426.75 = 9,426.75/x
  3. Step 3: Cross multiply
    4,298.25x = 9,426.75 × 9,426.75
  4. Step 4: Simplify right side
    4,298.25x = 88,863,615.56
  5. Step 5: Solve for x
    x = 88,863,615.56/4,298.25
  6. Step 6: Final answer
    x = 20,674.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.