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Finding the Third Proportional to 9,000 and 13,196

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Solution

The third proportional to 9,000 and 13,196 is: 19,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 13,196 = 13,196 : x
  2. Step 2: Convert to fraction form
    9,000/13,196 = 13,196/x
  3. Step 3: Cross multiply
    9,000x = 13,196 × 13,196
  4. Step 4: Simplify right side
    9,000x = 174,134,416
  5. Step 5: Solve for x
    x = 174,134,416/9,000
  6. Step 6: Final answer
    x = 19,348.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.