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Finding the Third Proportional to 12,225.94 and 28,284.19

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Solution

The third proportional to 12,225.94 and 28,284.19 is: 65,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.94 : 28,284.19 = 28,284.19 : x
  2. Step 2: Convert to fraction form
    12,225.94/28,284.19 = 28,284.19/x
  3. Step 3: Cross multiply
    12,225.94x = 28,284.19 × 28,284.19
  4. Step 4: Simplify right side
    12,225.94x = 799,995,262.54
  5. Step 5: Solve for x
    x = 799,995,262.54/12,225.94
  6. Step 6: Final answer
    x = 65,434.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.