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Finding the Third Proportional to 11,668.50 and 18,614.25

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Solution

The third proportional to 11,668.50 and 18,614.25 is: 29,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.50 : 18,614.25 = 18,614.25 : x
  2. Step 2: Convert to fraction form
    11,668.50/18,614.25 = 18,614.25/x
  3. Step 3: Cross multiply
    11,668.50x = 18,614.25 × 18,614.25
  4. Step 4: Simplify right side
    11,668.50x = 346,490,303.06
  5. Step 5: Solve for x
    x = 346,490,303.06/11,668.50
  6. Step 6: Final answer
    x = 29,694.50

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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.