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Finding the Third Proportional to 16,752 and 18,224

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Solution

The third proportional to 16,752 and 18,224 is: 19,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 18,224 = 18,224 : x
  2. Step 2: Convert to fraction form
    16,752/18,224 = 18,224/x
  3. Step 3: Cross multiply
    16,752x = 18,224 × 18,224
  4. Step 4: Simplify right side
    16,752x = 332,114,176
  5. Step 5: Solve for x
    x = 332,114,176/16,752
  6. Step 6: Final answer
    x = 19,825.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.