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Finding the Third Proportional to 7,516.44 and 16,313.70

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Solution

The third proportional to 7,516.44 and 16,313.70 is: 35,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.44 : 16,313.70 = 16,313.70 : x
  2. Step 2: Convert to fraction form
    7,516.44/16,313.70 = 16,313.70/x
  3. Step 3: Cross multiply
    7,516.44x = 16,313.70 × 16,313.70
  4. Step 4: Simplify right side
    7,516.44x = 266,136,654.75
  5. Step 5: Solve for x
    x = 266,136,654.75/7,516.44
  6. Step 6: Final answer
    x = 35,407.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.