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Finding the Third Proportional to 901.97 and 2,077.31

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Solution

The third proportional to 901.97 and 2,077.31 is: 4,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.97 : 2,077.31 = 2,077.31 : x
  2. Step 2: Convert to fraction form
    901.97/2,077.31 = 2,077.31/x
  3. Step 3: Cross multiply
    901.97x = 2,077.31 × 2,077.31
  4. Step 4: Simplify right side
    901.97x = 4,315,227.22
  5. Step 5: Solve for x
    x = 4,315,227.22/901.97
  6. Step 6: Final answer
    x = 4,784.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.