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Finding the Third Proportional to 14,884 and 17,236

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Solution

The third proportional to 14,884 and 17,236 is: 19,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 17,236 = 17,236 : x
  2. Step 2: Convert to fraction form
    14,884/17,236 = 17,236/x
  3. Step 3: Cross multiply
    14,884x = 17,236 × 17,236
  4. Step 4: Simplify right side
    14,884x = 297,079,696
  5. Step 5: Solve for x
    x = 297,079,696/14,884
  6. Step 6: Final answer
    x = 19,959.67

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.