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Finding the Third Proportional to 14,335.95 and 33,729.54

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Solution

The third proportional to 14,335.95 and 33,729.54 is: 79,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.95 : 33,729.54 = 33,729.54 : x
  2. Step 2: Convert to fraction form
    14,335.95/33,729.54 = 33,729.54/x
  3. Step 3: Cross multiply
    14,335.95x = 33,729.54 × 33,729.54
  4. Step 4: Simplify right side
    14,335.95x = 1,137,681,805.37
  5. Step 5: Solve for x
    x = 1,137,681,805.37/14,335.95
  6. Step 6: Final answer
    x = 79,358.69

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.