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Finding the Third Proportional to 1,305 and 1,650

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Solution

The third proportional to 1,305 and 1,650 is: 2,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 1,650 = 1,650 : x
  2. Step 2: Convert to fraction form
    1,305/1,650 = 1,650/x
  3. Step 3: Cross multiply
    1,305x = 1,650 × 1,650
  4. Step 4: Simplify right side
    1,305x = 2,722,500
  5. Step 5: Solve for x
    x = 2,722,500/1,305
  6. Step 6: Final answer
    x = 2,086.21

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.