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Finding the Third Proportional to 8,769 and 13,584.75

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Solution

The third proportional to 8,769 and 13,584.75 is: 21,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769 : 13,584.75 = 13,584.75 : x
  2. Step 2: Convert to fraction form
    8,769/13,584.75 = 13,584.75/x
  3. Step 3: Cross multiply
    8,769x = 13,584.75 × 13,584.75
  4. Step 4: Simplify right side
    8,769x = 184,545,432.56
  5. Step 5: Solve for x
    x = 184,545,432.56/8,769
  6. Step 6: Final answer
    x = 21,045.21

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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.