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Finding the Third Proportional to 6,148 and 12,254

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Solution

The third proportional to 6,148 and 12,254 is: 24,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148 : 12,254 = 12,254 : x
  2. Step 2: Convert to fraction form
    6,148/12,254 = 12,254/x
  3. Step 3: Cross multiply
    6,148x = 12,254 × 12,254
  4. Step 4: Simplify right side
    6,148x = 150,160,516
  5. Step 5: Solve for x
    x = 150,160,516/6,148
  6. Step 6: Final answer
    x = 24,424.29

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.