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Finding the Third Proportional to 4,865.06 and 10,584.42

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Solution

The third proportional to 4,865.06 and 10,584.42 is: 23,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.06 : 10,584.42 = 10,584.42 : x
  2. Step 2: Convert to fraction form
    4,865.06/10,584.42 = 10,584.42/x
  3. Step 3: Cross multiply
    4,865.06x = 10,584.42 × 10,584.42
  4. Step 4: Simplify right side
    4,865.06x = 112,029,986.43
  5. Step 5: Solve for x
    x = 112,029,986.43/4,865.06
  6. Step 6: Final answer
    x = 23,027.45

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