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Finding the Third Proportional to 12,732.19 and 19,786.78

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Solution

The third proportional to 12,732.19 and 19,786.78 is: 30,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.19 : 19,786.78 = 19,786.78 : x
  2. Step 2: Convert to fraction form
    12,732.19/19,786.78 = 19,786.78/x
  3. Step 3: Cross multiply
    12,732.19x = 19,786.78 × 19,786.78
  4. Step 4: Simplify right side
    12,732.19x = 391,516,712.24
  5. Step 5: Solve for x
    x = 391,516,712.24/12,732.19
  6. Step 6: Final answer
    x = 30,750.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.