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Finding the Third Proportional to 6,129.56 and 13,230.94

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Solution

The third proportional to 6,129.56 and 13,230.94 is: 28,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.56 : 13,230.94 = 13,230.94 : x
  2. Step 2: Convert to fraction form
    6,129.56/13,230.94 = 13,230.94/x
  3. Step 3: Cross multiply
    6,129.56x = 13,230.94 × 13,230.94
  4. Step 4: Simplify right side
    6,129.56x = 175,057,707.13
  5. Step 5: Solve for x
    x = 175,057,707.13/6,129.56
  6. Step 6: Final answer
    x = 28,559.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.