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Finding the Third Proportional to 16,077 and 19,641

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Solution

The third proportional to 16,077 and 19,641 is: 23,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 19,641 = 19,641 : x
  2. Step 2: Convert to fraction form
    16,077/19,641 = 19,641/x
  3. Step 3: Cross multiply
    16,077x = 19,641 × 19,641
  4. Step 4: Simplify right side
    16,077x = 385,768,881
  5. Step 5: Solve for x
    x = 385,768,881/16,077
  6. Step 6: Final answer
    x = 23,995.08

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.