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Finding the Third Proportional to 6,465 and 8,227.50

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Solution

The third proportional to 6,465 and 8,227.50 is: 10,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 8,227.50 = 8,227.50 : x
  2. Step 2: Convert to fraction form
    6,465/8,227.50 = 8,227.50/x
  3. Step 3: Cross multiply
    6,465x = 8,227.50 × 8,227.50
  4. Step 4: Simplify right side
    6,465x = 67,691,756.25
  5. Step 5: Solve for x
    x = 67,691,756.25/6,465
  6. Step 6: Final answer
    x = 10,470.50

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.