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Finding the Third Proportional to 4,350.25 and 9,484.75

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Solution

The third proportional to 4,350.25 and 9,484.75 is: 20,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.25 : 9,484.75 = 9,484.75 : x
  2. Step 2: Convert to fraction form
    4,350.25/9,484.75 = 9,484.75/x
  3. Step 3: Cross multiply
    4,350.25x = 9,484.75 × 9,484.75
  4. Step 4: Simplify right side
    4,350.25x = 89,960,482.56
  5. Step 5: Solve for x
    x = 89,960,482.56/4,350.25
  6. Step 6: Final answer
    x = 20,679.38

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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.