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Finding the Third Proportional to 14,930.25 and 21,582.38

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Solution

The third proportional to 14,930.25 and 21,582.38 is: 31,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.25 : 21,582.38 = 21,582.38 : x
  2. Step 2: Convert to fraction form
    14,930.25/21,582.38 = 21,582.38/x
  3. Step 3: Cross multiply
    14,930.25x = 21,582.38 × 21,582.38
  4. Step 4: Simplify right side
    14,930.25x = 465,798,910.64
  5. Step 5: Solve for x
    x = 465,798,910.64/14,930.25
  6. Step 6: Final answer
    x = 31,198.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.