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Finding the Third Proportional to 6,513 and 8,338.50

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Solution

The third proportional to 6,513 and 8,338.50 is: 10,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513 : 8,338.50 = 8,338.50 : x
  2. Step 2: Convert to fraction form
    6,513/8,338.50 = 8,338.50/x
  3. Step 3: Cross multiply
    6,513x = 8,338.50 × 8,338.50
  4. Step 4: Simplify right side
    6,513x = 69,530,582.25
  5. Step 5: Solve for x
    x = 69,530,582.25/6,513
  6. Step 6: Final answer
    x = 10,675.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.