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Finding the Third Proportional to 11,349.56 and 17,631.56

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Solution

The third proportional to 11,349.56 and 17,631.56 is: 27,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.56 : 17,631.56 = 17,631.56 : x
  2. Step 2: Convert to fraction form
    11,349.56/17,631.56 = 17,631.56/x
  3. Step 3: Cross multiply
    11,349.56x = 17,631.56 × 17,631.56
  4. Step 4: Simplify right side
    11,349.56x = 310,871,996.19
  5. Step 5: Solve for x
    x = 310,871,996.19/11,349.56
  6. Step 6: Final answer
    x = 27,390.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.