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Finding the Third Proportional to 14,982.75 and 21,582.75

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Solution

The third proportional to 14,982.75 and 21,582.75 is: 31,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.75 : 21,582.75 = 21,582.75 : x
  2. Step 2: Convert to fraction form
    14,982.75/21,582.75 = 21,582.75/x
  3. Step 3: Cross multiply
    14,982.75x = 21,582.75 × 21,582.75
  4. Step 4: Simplify right side
    14,982.75x = 465,815,097.56
  5. Step 5: Solve for x
    x = 465,815,097.56/14,982.75
  6. Step 6: Final answer
    x = 31,090.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.