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Finding the Third Proportional to 3,735.41 and 5,702.43

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Solution

The third proportional to 3,735.41 and 5,702.43 is: 8,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.41 : 5,702.43 = 5,702.43 : x
  2. Step 2: Convert to fraction form
    3,735.41/5,702.43 = 5,702.43/x
  3. Step 3: Cross multiply
    3,735.41x = 5,702.43 × 5,702.43
  4. Step 4: Simplify right side
    3,735.41x = 32,517,726.62
  5. Step 5: Solve for x
    x = 32,517,726.62/3,735.41
  6. Step 6: Final answer
    x = 8,705.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.