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Finding the Third Proportional to 3,023.75 and 4,672.25

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Solution

The third proportional to 3,023.75 and 4,672.25 is: 7,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.75 : 4,672.25 = 4,672.25 : x
  2. Step 2: Convert to fraction form
    3,023.75/4,672.25 = 4,672.25/x
  3. Step 3: Cross multiply
    3,023.75x = 4,672.25 × 4,672.25
  4. Step 4: Simplify right side
    3,023.75x = 21,829,920.06
  5. Step 5: Solve for x
    x = 21,829,920.06/3,023.75
  6. Step 6: Final answer
    x = 7,219.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.