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Finding the Third Proportional to 6,292.37 and 8,515.28

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Solution

The third proportional to 6,292.37 and 8,515.28 is: 11,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.37 : 8,515.28 = 8,515.28 : x
  2. Step 2: Convert to fraction form
    6,292.37/8,515.28 = 8,515.28/x
  3. Step 3: Cross multiply
    6,292.37x = 8,515.28 × 8,515.28
  4. Step 4: Simplify right side
    6,292.37x = 72,510,048.03
  5. Step 5: Solve for x
    x = 72,510,048.03/6,292.37
  6. Step 6: Final answer
    x = 11,523.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.