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Finding the Third Proportional to 8,845 and 13,289

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Solution

The third proportional to 8,845 and 13,289 is: 19,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,845 : 13,289 = 13,289 : x
  2. Step 2: Convert to fraction form
    8,845/13,289 = 13,289/x
  3. Step 3: Cross multiply
    8,845x = 13,289 × 13,289
  4. Step 4: Simplify right side
    8,845x = 176,597,521
  5. Step 5: Solve for x
    x = 176,597,521/8,845
  6. Step 6: Final answer
    x = 19,965.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.