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Finding the Third Proportional to 5,256.56 and 8,375.06

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Solution

The third proportional to 5,256.56 and 8,375.06 is: 13,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.56 : 8,375.06 = 8,375.06 : x
  2. Step 2: Convert to fraction form
    5,256.56/8,375.06 = 8,375.06/x
  3. Step 3: Cross multiply
    5,256.56x = 8,375.06 × 8,375.06
  4. Step 4: Simplify right side
    5,256.56x = 70,141,671.88
  5. Step 5: Solve for x
    x = 70,141,671.88/5,256.56
  6. Step 6: Final answer
    x = 13,343.64

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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.