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Finding the Third Proportional to 6,908.41 and 11,436.19

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Solution

The third proportional to 6,908.41 and 11,436.19 is: 18,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.41 : 11,436.19 = 11,436.19 : x
  2. Step 2: Convert to fraction form
    6,908.41/11,436.19 = 11,436.19/x
  3. Step 3: Cross multiply
    6,908.41x = 11,436.19 × 11,436.19
  4. Step 4: Simplify right side
    6,908.41x = 130,786,384.54
  5. Step 5: Solve for x
    x = 130,786,384.54/6,908.41
  6. Step 6: Final answer
    x = 18,931.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.