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Finding the Third Proportional to 12,148 and 25,394

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Solution

The third proportional to 12,148 and 25,394 is: 53,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148 : 25,394 = 25,394 : x
  2. Step 2: Convert to fraction form
    12,148/25,394 = 25,394/x
  3. Step 3: Cross multiply
    12,148x = 25,394 × 25,394
  4. Step 4: Simplify right side
    12,148x = 644,855,236
  5. Step 5: Solve for x
    x = 644,855,236/12,148
  6. Step 6: Final answer
    x = 53,083.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.