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Finding the Third Proportional to 11,134.13 and 17,430.19

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Solution

The third proportional to 11,134.13 and 17,430.19 is: 27,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.13 : 17,430.19 = 17,430.19 : x
  2. Step 2: Convert to fraction form
    11,134.13/17,430.19 = 17,430.19/x
  3. Step 3: Cross multiply
    11,134.13x = 17,430.19 × 17,430.19
  4. Step 4: Simplify right side
    11,134.13x = 303,811,436.29
  5. Step 5: Solve for x
    x = 303,811,436.29/11,134.13
  6. Step 6: Final answer
    x = 27,286.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.