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Finding the Third Proportional to 14,631.97 and 19,228.09

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Solution

The third proportional to 14,631.97 and 19,228.09 is: 25,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.97 : 19,228.09 = 19,228.09 : x
  2. Step 2: Convert to fraction form
    14,631.97/19,228.09 = 19,228.09/x
  3. Step 3: Cross multiply
    14,631.97x = 19,228.09 × 19,228.09
  4. Step 4: Simplify right side
    14,631.97x = 369,719,326.37
  5. Step 5: Solve for x
    x = 369,719,326.37/14,631.97
  6. Step 6: Final answer
    x = 25,267.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.