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Finding the Third Proportional to 6,345.84 and 9,667.48

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Solution

The third proportional to 6,345.84 and 9,667.48 is: 14,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.84 : 9,667.48 = 9,667.48 : x
  2. Step 2: Convert to fraction form
    6,345.84/9,667.48 = 9,667.48/x
  3. Step 3: Cross multiply
    6,345.84x = 9,667.48 × 9,667.48
  4. Step 4: Simplify right side
    6,345.84x = 93,460,103.09
  5. Step 5: Solve for x
    x = 93,460,103.09/6,345.84
  6. Step 6: Final answer
    x = 14,727.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.