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Finding the Third Proportional to 6,516.28 and 14,201.72

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Solution

The third proportional to 6,516.28 and 14,201.72 is: 30,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.28 : 14,201.72 = 14,201.72 : x
  2. Step 2: Convert to fraction form
    6,516.28/14,201.72 = 14,201.72/x
  3. Step 3: Cross multiply
    6,516.28x = 14,201.72 × 14,201.72
  4. Step 4: Simplify right side
    6,516.28x = 201,688,815.45
  5. Step 5: Solve for x
    x = 201,688,815.45/6,516.28
  6. Step 6: Final answer
    x = 30,951.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.