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Finding the Third Proportional to 14,852.53 and 33,025.78

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Solution

The third proportional to 14,852.53 and 33,025.78 is: 73,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.53 : 33,025.78 = 33,025.78 : x
  2. Step 2: Convert to fraction form
    14,852.53/33,025.78 = 33,025.78/x
  3. Step 3: Cross multiply
    14,852.53x = 33,025.78 × 33,025.78
  4. Step 4: Simplify right side
    14,852.53x = 1,090,702,227.17
  5. Step 5: Solve for x
    x = 1,090,702,227.17/14,852.53
  6. Step 6: Final answer
    x = 73,435.44

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.