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Finding the Third Proportional to 1,037.97 and 2,172.05

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Solution

The third proportional to 1,037.97 and 2,172.05 is: 4,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.97 : 2,172.05 = 2,172.05 : x
  2. Step 2: Convert to fraction form
    1,037.97/2,172.05 = 2,172.05/x
  3. Step 3: Cross multiply
    1,037.97x = 2,172.05 × 2,172.05
  4. Step 4: Simplify right side
    1,037.97x = 4,717,800.35
  5. Step 5: Solve for x
    x = 4,717,800.35/1,037.97
  6. Step 6: Final answer
    x = 4,545.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.