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Finding the Third Proportional to 12,600.56 and 19,872.84

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Solution

The third proportional to 12,600.56 and 19,872.84 is: 31,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600.56 : 19,872.84 = 19,872.84 : x
  2. Step 2: Convert to fraction form
    12,600.56/19,872.84 = 19,872.84/x
  3. Step 3: Cross multiply
    12,600.56x = 19,872.84 × 19,872.84
  4. Step 4: Simplify right side
    12,600.56x = 394,929,918.71
  5. Step 5: Solve for x
    x = 394,929,918.71/12,600.56
  6. Step 6: Final answer
    x = 31,342.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.