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Finding the Third Proportional to 14,544.84 and 22,240.27

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Solution

The third proportional to 14,544.84 and 22,240.27 is: 34,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.84 : 22,240.27 = 22,240.27 : x
  2. Step 2: Convert to fraction form
    14,544.84/22,240.27 = 22,240.27/x
  3. Step 3: Cross multiply
    14,544.84x = 22,240.27 × 22,240.27
  4. Step 4: Simplify right side
    14,544.84x = 494,629,415.07
  5. Step 5: Solve for x
    x = 494,629,415.07/14,544.84
  6. Step 6: Final answer
    x = 34,007.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.