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Finding the Third Proportional to 3,410.75 and 5,256.88

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Solution

The third proportional to 3,410.75 and 5,256.88 is: 8,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.75 : 5,256.88 = 5,256.88 : x
  2. Step 2: Convert to fraction form
    3,410.75/5,256.88 = 5,256.88/x
  3. Step 3: Cross multiply
    3,410.75x = 5,256.88 × 5,256.88
  4. Step 4: Simplify right side
    3,410.75x = 27,634,734.77
  5. Step 5: Solve for x
    x = 27,634,734.77/3,410.75
  6. Step 6: Final answer
    x = 8,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.