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Finding the Third Proportional to 1,285.03 and 2,752.17

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Solution

The third proportional to 1,285.03 and 2,752.17 is: 5,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.03 : 2,752.17 = 2,752.17 : x
  2. Step 2: Convert to fraction form
    1,285.03/2,752.17 = 2,752.17/x
  3. Step 3: Cross multiply
    1,285.03x = 2,752.17 × 2,752.17
  4. Step 4: Simplify right side
    1,285.03x = 7,574,450.03
  5. Step 5: Solve for x
    x = 7,574,450.03/1,285.03
  6. Step 6: Final answer
    x = 5,894.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.