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Finding the Third Proportional to 3,702.75 and 4,256.25

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Solution

The third proportional to 3,702.75 and 4,256.25 is: 4,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.75 : 4,256.25 = 4,256.25 : x
  2. Step 2: Convert to fraction form
    3,702.75/4,256.25 = 4,256.25/x
  3. Step 3: Cross multiply
    3,702.75x = 4,256.25 × 4,256.25
  4. Step 4: Simplify right side
    3,702.75x = 18,115,664.06
  5. Step 5: Solve for x
    x = 18,115,664.06/3,702.75
  6. Step 6: Final answer
    x = 4,892.49

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.