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Finding the Third Proportional to 6,038 and 12,196

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Solution

The third proportional to 6,038 and 12,196 is: 24,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038 : 12,196 = 12,196 : x
  2. Step 2: Convert to fraction form
    6,038/12,196 = 12,196/x
  3. Step 3: Cross multiply
    6,038x = 12,196 × 12,196
  4. Step 4: Simplify right side
    6,038x = 148,742,416
  5. Step 5: Solve for x
    x = 148,742,416/6,038
  6. Step 6: Final answer
    x = 24,634.38

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.