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Finding the Third Proportional to 8,584 and 12,969

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Solution

The third proportional to 8,584 and 12,969 is: 19,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584 : 12,969 = 12,969 : x
  2. Step 2: Convert to fraction form
    8,584/12,969 = 12,969/x
  3. Step 3: Cross multiply
    8,584x = 12,969 × 12,969
  4. Step 4: Simplify right side
    8,584x = 168,194,961
  5. Step 5: Solve for x
    x = 168,194,961/8,584
  6. Step 6: Final answer
    x = 19,594.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.