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Finding the Third Proportional to 6,576.75 and 9,935.44

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Solution

The third proportional to 6,576.75 and 9,935.44 is: 15,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.75 : 9,935.44 = 9,935.44 : x
  2. Step 2: Convert to fraction form
    6,576.75/9,935.44 = 9,935.44/x
  3. Step 3: Cross multiply
    6,576.75x = 9,935.44 × 9,935.44
  4. Step 4: Simplify right side
    6,576.75x = 98,712,918.32
  5. Step 5: Solve for x
    x = 98,712,918.32/6,576.75
  6. Step 6: Final answer
    x = 15,009.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.