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Finding the Third Proportional to 6,253.45 and 13,224.52

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Solution

The third proportional to 6,253.45 and 13,224.52 is: 27,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.45 : 13,224.52 = 13,224.52 : x
  2. Step 2: Convert to fraction form
    6,253.45/13,224.52 = 13,224.52/x
  3. Step 3: Cross multiply
    6,253.45x = 13,224.52 × 13,224.52
  4. Step 4: Simplify right side
    6,253.45x = 174,887,813.52
  5. Step 5: Solve for x
    x = 174,887,813.52/6,253.45
  6. Step 6: Final answer
    x = 27,966.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.