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Finding the Third Proportional to 12,248 and 18,740

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Solution

The third proportional to 12,248 and 18,740 is: 28,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,248 : 18,740 = 18,740 : x
  2. Step 2: Convert to fraction form
    12,248/18,740 = 18,740/x
  3. Step 3: Cross multiply
    12,248x = 18,740 × 18,740
  4. Step 4: Simplify right side
    12,248x = 351,187,600
  5. Step 5: Solve for x
    x = 351,187,600/12,248
  6. Step 6: Final answer
    x = 28,673.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.