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Finding the Third Proportional to 34,716.94 and 53,519.06

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Solution

The third proportional to 34,716.94 and 53,519.06 is: 82,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716.94 : 53,519.06 = 53,519.06 : x
  2. Step 2: Convert to fraction form
    34,716.94/53,519.06 = 53,519.06/x
  3. Step 3: Cross multiply
    34,716.94x = 53,519.06 × 53,519.06
  4. Step 4: Simplify right side
    34,716.94x = 2,864,290,050.88
  5. Step 5: Solve for x
    x = 2,864,290,050.88/34,716.94
  6. Step 6: Final answer
    x = 82,504.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.