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Finding the Third Proportional to 16,424 and 19,664

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Solution

The third proportional to 16,424 and 19,664 is: 23,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424 : 19,664 = 19,664 : x
  2. Step 2: Convert to fraction form
    16,424/19,664 = 19,664/x
  3. Step 3: Cross multiply
    16,424x = 19,664 × 19,664
  4. Step 4: Simplify right side
    16,424x = 386,672,896
  5. Step 5: Solve for x
    x = 386,672,896/16,424
  6. Step 6: Final answer
    x = 23,543.16

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.