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Finding the Third Proportional to 5,308.03 and 11,584.27

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Solution

The third proportional to 5,308.03 and 11,584.27 is: 25,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.03 : 11,584.27 = 11,584.27 : x
  2. Step 2: Convert to fraction form
    5,308.03/11,584.27 = 11,584.27/x
  3. Step 3: Cross multiply
    5,308.03x = 11,584.27 × 11,584.27
  4. Step 4: Simplify right side
    5,308.03x = 134,195,210.07
  5. Step 5: Solve for x
    x = 134,195,210.07/5,308.03
  6. Step 6: Final answer
    x = 25,281.54

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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.