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Finding the Third Proportional to 6,864.75 and 11,655.75

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Solution

The third proportional to 6,864.75 and 11,655.75 is: 19,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 11,655.75 = 11,655.75 : x
  2. Step 2: Convert to fraction form
    6,864.75/11,655.75 = 11,655.75/x
  3. Step 3: Cross multiply
    6,864.75x = 11,655.75 × 11,655.75
  4. Step 4: Simplify right side
    6,864.75x = 135,856,508.06
  5. Step 5: Solve for x
    x = 135,856,508.06/6,864.75
  6. Step 6: Final answer
    x = 19,790.45

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.