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Finding the Third Proportional to 14,301.56 and 33,408.56

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Solution

The third proportional to 14,301.56 and 33,408.56 is: 78,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.56 : 33,408.56 = 33,408.56 : x
  2. Step 2: Convert to fraction form
    14,301.56/33,408.56 = 33,408.56/x
  3. Step 3: Cross multiply
    14,301.56x = 33,408.56 × 33,408.56
  4. Step 4: Simplify right side
    14,301.56x = 1,116,132,048.32
  5. Step 5: Solve for x
    x = 1,116,132,048.32/14,301.56
  6. Step 6: Final answer
    x = 78,042.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.