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Finding the Third Proportional to 6,196 and 15,274

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Solution

The third proportional to 6,196 and 15,274 is: 37,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196 : 15,274 = 15,274 : x
  2. Step 2: Convert to fraction form
    6,196/15,274 = 15,274/x
  3. Step 3: Cross multiply
    6,196x = 15,274 × 15,274
  4. Step 4: Simplify right side
    6,196x = 233,295,076
  5. Step 5: Solve for x
    x = 233,295,076/6,196
  6. Step 6: Final answer
    x = 37,652.53

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.