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Finding the Third Proportional to 8,584.13 and 13,284.75

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Solution

The third proportional to 8,584.13 and 13,284.75 is: 20,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.13 : 13,284.75 = 13,284.75 : x
  2. Step 2: Convert to fraction form
    8,584.13/13,284.75 = 13,284.75/x
  3. Step 3: Cross multiply
    8,584.13x = 13,284.75 × 13,284.75
  4. Step 4: Simplify right side
    8,584.13x = 176,484,582.56
  5. Step 5: Solve for x
    x = 176,484,582.56/8,584.13
  6. Step 6: Final answer
    x = 20,559.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.