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Finding the Third Proportional to 752.63 and 1,821.94

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Solution

The third proportional to 752.63 and 1,821.94 is: 4,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.63 : 1,821.94 = 1,821.94 : x
  2. Step 2: Convert to fraction form
    752.63/1,821.94 = 1,821.94/x
  3. Step 3: Cross multiply
    752.63x = 1,821.94 × 1,821.94
  4. Step 4: Simplify right side
    752.63x = 3,319,456.25
  5. Step 5: Solve for x
    x = 3,319,456.25/752.63
  6. Step 6: Final answer
    x = 4,410.50

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.