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Finding the Third Proportional to 5,726.75 and 6,644.75

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Solution

The third proportional to 5,726.75 and 6,644.75 is: 7,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.75 : 6,644.75 = 6,644.75 : x
  2. Step 2: Convert to fraction form
    5,726.75/6,644.75 = 6,644.75/x
  3. Step 3: Cross multiply
    5,726.75x = 6,644.75 × 6,644.75
  4. Step 4: Simplify right side
    5,726.75x = 44,152,702.56
  5. Step 5: Solve for x
    x = 44,152,702.56/5,726.75
  6. Step 6: Final answer
    x = 7,709.91

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.