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Finding the Third Proportional to 12,582.84 and 16,383.52

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Solution

The third proportional to 12,582.84 and 16,383.52 is: 21,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.84 : 16,383.52 = 16,383.52 : x
  2. Step 2: Convert to fraction form
    12,582.84/16,383.52 = 16,383.52/x
  3. Step 3: Cross multiply
    12,582.84x = 16,383.52 × 16,383.52
  4. Step 4: Simplify right side
    12,582.84x = 268,419,584.23
  5. Step 5: Solve for x
    x = 268,419,584.23/12,582.84
  6. Step 6: Final answer
    x = 21,332.19

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.