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Finding the Third Proportional to 8,056.02 and 11,712.41

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Solution

The third proportional to 8,056.02 and 11,712.41 is: 17,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.02 : 11,712.41 = 11,712.41 : x
  2. Step 2: Convert to fraction form
    8,056.02/11,712.41 = 11,712.41/x
  3. Step 3: Cross multiply
    8,056.02x = 11,712.41 × 11,712.41
  4. Step 4: Simplify right side
    8,056.02x = 137,180,551.67
  5. Step 5: Solve for x
    x = 137,180,551.67/8,056.02
  6. Step 6: Final answer
    x = 17,028.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.