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Finding the Third Proportional to 5,252.06 and 6,129.56

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Solution

The third proportional to 5,252.06 and 6,129.56 is: 7,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.06 : 6,129.56 = 6,129.56 : x
  2. Step 2: Convert to fraction form
    5,252.06/6,129.56 = 6,129.56/x
  3. Step 3: Cross multiply
    5,252.06x = 6,129.56 × 6,129.56
  4. Step 4: Simplify right side
    5,252.06x = 37,571,536.44
  5. Step 5: Solve for x
    x = 37,571,536.44/5,252.06
  6. Step 6: Final answer
    x = 7,153.67

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.