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Finding the Third Proportional to 8,584 and 11,220

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Solution

The third proportional to 8,584 and 11,220 is: 14,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584 : 11,220 = 11,220 : x
  2. Step 2: Convert to fraction form
    8,584/11,220 = 11,220/x
  3. Step 3: Cross multiply
    8,584x = 11,220 × 11,220
  4. Step 4: Simplify right side
    8,584x = 125,888,400
  5. Step 5: Solve for x
    x = 125,888,400/8,584
  6. Step 6: Final answer
    x = 14,665.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.