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Finding the Third Proportional to 8,634.52 and 12,668.48

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Solution

The third proportional to 8,634.52 and 12,668.48 is: 18,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.52 : 12,668.48 = 12,668.48 : x
  2. Step 2: Convert to fraction form
    8,634.52/12,668.48 = 12,668.48/x
  3. Step 3: Cross multiply
    8,634.52x = 12,668.48 × 12,668.48
  4. Step 4: Simplify right side
    8,634.52x = 160,490,496.36
  5. Step 5: Solve for x
    x = 160,490,496.36/8,634.52
  6. Step 6: Final answer
    x = 18,587.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.