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Finding the Third Proportional to 14,194 and 16,570

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Solution

The third proportional to 14,194 and 16,570 is: 19,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194 : 16,570 = 16,570 : x
  2. Step 2: Convert to fraction form
    14,194/16,570 = 16,570/x
  3. Step 3: Cross multiply
    14,194x = 16,570 × 16,570
  4. Step 4: Simplify right side
    14,194x = 274,564,900
  5. Step 5: Solve for x
    x = 274,564,900/14,194
  6. Step 6: Final answer
    x = 19,343.73

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.