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Finding the Third Proportional to 12,097 and 18,685

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Solution

The third proportional to 12,097 and 18,685 is: 28,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097 : 18,685 = 18,685 : x
  2. Step 2: Convert to fraction form
    12,097/18,685 = 18,685/x
  3. Step 3: Cross multiply
    12,097x = 18,685 × 18,685
  4. Step 4: Simplify right side
    12,097x = 349,129,225
  5. Step 5: Solve for x
    x = 349,129,225/12,097
  6. Step 6: Final answer
    x = 28,860.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.