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Finding the Third Proportional to 4,116 and 6,196

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Solution

The third proportional to 4,116 and 6,196 is: 9,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,196 = 6,196 : x
  2. Step 2: Convert to fraction form
    4,116/6,196 = 6,196/x
  3. Step 3: Cross multiply
    4,116x = 6,196 × 6,196
  4. Step 4: Simplify right side
    4,116x = 38,390,416
  5. Step 5: Solve for x
    x = 38,390,416/4,116
  6. Step 6: Final answer
    x = 9,327.12

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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.