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Finding the Third Proportional to 14,401.50 and 33,361.13

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Solution

The third proportional to 14,401.50 and 33,361.13 is: 77,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.50 : 33,361.13 = 33,361.13 : x
  2. Step 2: Convert to fraction form
    14,401.50/33,361.13 = 33,361.13/x
  3. Step 3: Cross multiply
    14,401.50x = 33,361.13 × 33,361.13
  4. Step 4: Simplify right side
    14,401.50x = 1,112,964,661.27
  5. Step 5: Solve for x
    x = 1,112,964,661.27/14,401.50
  6. Step 6: Final answer
    x = 77,281.16

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.