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Finding the Third Proportional to 9,147.94 and 14,400.28

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Solution

The third proportional to 9,147.94 and 14,400.28 is: 22,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.94 : 14,400.28 = 14,400.28 : x
  2. Step 2: Convert to fraction form
    9,147.94/14,400.28 = 14,400.28/x
  3. Step 3: Cross multiply
    9,147.94x = 14,400.28 × 14,400.28
  4. Step 4: Simplify right side
    9,147.94x = 207,368,100.08
  5. Step 5: Solve for x
    x = 207,368,100.08/9,147.94
  6. Step 6: Final answer
    x = 22,668.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.