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Finding the Third Proportional to 11,920.25 and 18,871.25

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Solution

The third proportional to 11,920.25 and 18,871.25 is: 29,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.25 : 18,871.25 = 18,871.25 : x
  2. Step 2: Convert to fraction form
    11,920.25/18,871.25 = 18,871.25/x
  3. Step 3: Cross multiply
    11,920.25x = 18,871.25 × 18,871.25
  4. Step 4: Simplify right side
    11,920.25x = 356,124,076.56
  5. Step 5: Solve for x
    x = 356,124,076.56/11,920.25
  6. Step 6: Final answer
    x = 29,875.55

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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.