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Finding the Third Proportional to 16,422 and 25,641

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Solution

The third proportional to 16,422 and 25,641 is: 40,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422 : 25,641 = 25,641 : x
  2. Step 2: Convert to fraction form
    16,422/25,641 = 25,641/x
  3. Step 3: Cross multiply
    16,422x = 25,641 × 25,641
  4. Step 4: Simplify right side
    16,422x = 657,460,881
  5. Step 5: Solve for x
    x = 657,460,881/16,422
  6. Step 6: Final answer
    x = 40,035.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.