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Finding the Third Proportional to 6,381.28 and 13,534.59

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Solution

The third proportional to 6,381.28 and 13,534.59 is: 28,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.28 : 13,534.59 = 13,534.59 : x
  2. Step 2: Convert to fraction form
    6,381.28/13,534.59 = 13,534.59/x
  3. Step 3: Cross multiply
    6,381.28x = 13,534.59 × 13,534.59
  4. Step 4: Simplify right side
    6,381.28x = 183,185,227.98
  5. Step 5: Solve for x
    x = 183,185,227.98/6,381.28
  6. Step 6: Final answer
    x = 28,706.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.