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Finding the Third Proportional to 902.25 and 1,652.63

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Solution

The third proportional to 902.25 and 1,652.63 is: 3,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 1,652.63 = 1,652.63 : x
  2. Step 2: Convert to fraction form
    902.25/1,652.63 = 1,652.63/x
  3. Step 3: Cross multiply
    902.25x = 1,652.63 × 1,652.63
  4. Step 4: Simplify right side
    902.25x = 2,731,169.39
  5. Step 5: Solve for x
    x = 2,731,169.39/902.25
  6. Step 6: Final answer
    x = 3,027.06

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.