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Finding the Third Proportional to 10,266.75 and 16,102.55

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Solution

The third proportional to 10,266.75 and 16,102.55 is: 25,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.75 : 16,102.55 = 16,102.55 : x
  2. Step 2: Convert to fraction form
    10,266.75/16,102.55 = 16,102.55/x
  3. Step 3: Cross multiply
    10,266.75x = 16,102.55 × 16,102.55
  4. Step 4: Simplify right side
    10,266.75x = 259,292,015.86
  5. Step 5: Solve for x
    x = 259,292,015.86/10,266.75
  6. Step 6: Final answer
    x = 25,255.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.