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Finding the Third Proportional to 12,243 and 19,484

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Solution

The third proportional to 12,243 and 19,484 is: 31,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243 : 19,484 = 19,484 : x
  2. Step 2: Convert to fraction form
    12,243/19,484 = 19,484/x
  3. Step 3: Cross multiply
    12,243x = 19,484 × 19,484
  4. Step 4: Simplify right side
    12,243x = 379,626,256
  5. Step 5: Solve for x
    x = 379,626,256/12,243
  6. Step 6: Final answer
    x = 31,007.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.