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Finding the Third Proportional to 3,725.16 and 4,114.55

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Solution

The third proportional to 3,725.16 and 4,114.55 is: 4,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.16 : 4,114.55 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    3,725.16/4,114.55 = 4,114.55/x
  3. Step 3: Cross multiply
    3,725.16x = 4,114.55 × 4,114.55
  4. Step 4: Simplify right side
    3,725.16x = 16,929,495.99
  5. Step 5: Solve for x
    x = 16,929,495.99/3,725.16
  6. Step 6: Final answer
    x = 4,544.64

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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.