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Finding the Third Proportional to 6,192.28 and 13,559.06

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Solution

The third proportional to 6,192.28 and 13,559.06 is: 29,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.28 : 13,559.06 = 13,559.06 : x
  2. Step 2: Convert to fraction form
    6,192.28/13,559.06 = 13,559.06/x
  3. Step 3: Cross multiply
    6,192.28x = 13,559.06 × 13,559.06
  4. Step 4: Simplify right side
    6,192.28x = 183,848,175.88
  5. Step 5: Solve for x
    x = 183,848,175.88/6,192.28
  6. Step 6: Final answer
    x = 29,689.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.