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Finding the Third Proportional to 6,130.69 and 6,768.56

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Solution

The third proportional to 6,130.69 and 6,768.56 is: 7,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.69 : 6,768.56 = 6,768.56 : x
  2. Step 2: Convert to fraction form
    6,130.69/6,768.56 = 6,768.56/x
  3. Step 3: Cross multiply
    6,130.69x = 6,768.56 × 6,768.56
  4. Step 4: Simplify right side
    6,130.69x = 45,813,438.32
  5. Step 5: Solve for x
    x = 45,813,438.32/6,130.69
  6. Step 6: Final answer
    x = 7,472.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.