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Finding the Third Proportional to 12,852.56 and 19,440.84

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Solution

The third proportional to 12,852.56 and 19,440.84 is: 29,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.56 : 19,440.84 = 19,440.84 : x
  2. Step 2: Convert to fraction form
    12,852.56/19,440.84 = 19,440.84/x
  3. Step 3: Cross multiply
    12,852.56x = 19,440.84 × 19,440.84
  4. Step 4: Simplify right side
    12,852.56x = 377,946,405.71
  5. Step 5: Solve for x
    x = 377,946,405.71/12,852.56
  6. Step 6: Final answer
    x = 29,406.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.