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Finding the Third Proportional to 5,099.63 and 10,715.63

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Solution

The third proportional to 5,099.63 and 10,715.63 is: 22,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.63 : 10,715.63 = 10,715.63 : x
  2. Step 2: Convert to fraction form
    5,099.63/10,715.63 = 10,715.63/x
  3. Step 3: Cross multiply
    5,099.63x = 10,715.63 × 10,715.63
  4. Step 4: Simplify right side
    5,099.63x = 114,824,619.14
  5. Step 5: Solve for x
    x = 114,824,619.14/5,099.63
  6. Step 6: Final answer
    x = 22,516.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.