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Finding the Third Proportional to 7,455.09 and 16,077.84

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Solution

The third proportional to 7,455.09 and 16,077.84 is: 34,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.09 : 16,077.84 = 16,077.84 : x
  2. Step 2: Convert to fraction form
    7,455.09/16,077.84 = 16,077.84/x
  3. Step 3: Cross multiply
    7,455.09x = 16,077.84 × 16,077.84
  4. Step 4: Simplify right side
    7,455.09x = 258,497,059.65
  5. Step 5: Solve for x
    x = 258,497,059.65/7,455.09
  6. Step 6: Final answer
    x = 34,673.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.