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Finding the Third Proportional to 16,101.75 and 25,637.44

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Solution

The third proportional to 16,101.75 and 25,637.44 is: 40,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.75 : 25,637.44 = 25,637.44 : x
  2. Step 2: Convert to fraction form
    16,101.75/25,637.44 = 25,637.44/x
  3. Step 3: Cross multiply
    16,101.75x = 25,637.44 × 25,637.44
  4. Step 4: Simplify right side
    16,101.75x = 657,278,201.57
  5. Step 5: Solve for x
    x = 657,278,201.57/16,101.75
  6. Step 6: Final answer
    x = 40,820.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.