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Finding the Third Proportional to 1,937.25 and 3,020.63

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Solution

The third proportional to 1,937.25 and 3,020.63 is: 4,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.25 : 3,020.63 = 3,020.63 : x
  2. Step 2: Convert to fraction form
    1,937.25/3,020.63 = 3,020.63/x
  3. Step 3: Cross multiply
    1,937.25x = 3,020.63 × 3,020.63
  4. Step 4: Simplify right side
    1,937.25x = 9,124,175.39
  5. Step 5: Solve for x
    x = 9,124,175.39/1,937.25
  6. Step 6: Final answer
    x = 4,709.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.