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Finding the Third Proportional to 7,667.44 and 11,616.19

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Solution

The third proportional to 7,667.44 and 11,616.19 is: 17,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.44 : 11,616.19 = 11,616.19 : x
  2. Step 2: Convert to fraction form
    7,667.44/11,616.19 = 11,616.19/x
  3. Step 3: Cross multiply
    7,667.44x = 11,616.19 × 11,616.19
  4. Step 4: Simplify right side
    7,667.44x = 134,935,812.04
  5. Step 5: Solve for x
    x = 134,935,812.04/7,667.44
  6. Step 6: Final answer
    x = 17,598.55

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1.5x scale

Why These Related Problems?

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