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Finding the Third Proportional to 4,668.94 and 10,115.69

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Solution

The third proportional to 4,668.94 and 10,115.69 is: 21,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.94 : 10,115.69 = 10,115.69 : x
  2. Step 2: Convert to fraction form
    4,668.94/10,115.69 = 10,115.69/x
  3. Step 3: Cross multiply
    4,668.94x = 10,115.69 × 10,115.69
  4. Step 4: Simplify right side
    4,668.94x = 102,327,133.60
  5. Step 5: Solve for x
    x = 102,327,133.60/4,668.94
  6. Step 6: Final answer
    x = 21,916.58

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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.