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Finding the Third Proportional to 5,729.06 and 6,269.06

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Solution

The third proportional to 5,729.06 and 6,269.06 is: 6,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.06 : 6,269.06 = 6,269.06 : x
  2. Step 2: Convert to fraction form
    5,729.06/6,269.06 = 6,269.06/x
  3. Step 3: Cross multiply
    5,729.06x = 6,269.06 × 6,269.06
  4. Step 4: Simplify right side
    5,729.06x = 39,301,144.63
  5. Step 5: Solve for x
    x = 39,301,144.63/5,729.06
  6. Step 6: Final answer
    x = 6,859.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.