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Finding the Third Proportional to 14,235.75 and 33,260.63

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Solution

The third proportional to 14,235.75 and 33,260.63 is: 77,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.75 : 33,260.63 = 33,260.63 : x
  2. Step 2: Convert to fraction form
    14,235.75/33,260.63 = 33,260.63/x
  3. Step 3: Cross multiply
    14,235.75x = 33,260.63 × 33,260.63
  4. Step 4: Simplify right side
    14,235.75x = 1,106,269,175.39
  5. Step 5: Solve for x
    x = 1,106,269,175.39/14,235.75
  6. Step 6: Final answer
    x = 77,710.64

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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.