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Finding the Third Proportional to 5,099.63 and 8,148.94

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Solution

The third proportional to 5,099.63 and 8,148.94 is: 13,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.63 : 8,148.94 = 8,148.94 : x
  2. Step 2: Convert to fraction form
    5,099.63/8,148.94 = 8,148.94/x
  3. Step 3: Cross multiply
    5,099.63x = 8,148.94 × 8,148.94
  4. Step 4: Simplify right side
    5,099.63x = 66,405,182.38
  5. Step 5: Solve for x
    x = 66,405,182.38/5,099.63
  6. Step 6: Final answer
    x = 13,021.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.