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Finding the Third Proportional to 19,184 and 27,564

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Solution

The third proportional to 19,184 and 27,564 is: 39,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,184 : 27,564 = 27,564 : x
  2. Step 2: Convert to fraction form
    19,184/27,564 = 27,564/x
  3. Step 3: Cross multiply
    19,184x = 27,564 × 27,564
  4. Step 4: Simplify right side
    19,184x = 759,774,096
  5. Step 5: Solve for x
    x = 759,774,096/19,184
  6. Step 6: Final answer
    x = 39,604.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.