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Finding the Third Proportional to 4,556.67 and 6,516.05

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Solution

The third proportional to 4,556.67 and 6,516.05 is: 9,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.67 : 6,516.05 = 6,516.05 : x
  2. Step 2: Convert to fraction form
    4,556.67/6,516.05 = 6,516.05/x
  3. Step 3: Cross multiply
    4,556.67x = 6,516.05 × 6,516.05
  4. Step 4: Simplify right side
    4,556.67x = 42,458,866.88
  5. Step 5: Solve for x
    x = 42,458,866.88/4,556.67
  6. Step 6: Final answer
    x = 9,317.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.