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Finding the Third Proportional to 1,822.13 and 2,661.75

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Solution

The third proportional to 1,822.13 and 2,661.75 is: 3,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.13 : 2,661.75 = 2,661.75 : x
  2. Step 2: Convert to fraction form
    1,822.13/2,661.75 = 2,661.75/x
  3. Step 3: Cross multiply
    1,822.13x = 2,661.75 × 2,661.75
  4. Step 4: Simplify right side
    1,822.13x = 7,084,913.06
  5. Step 5: Solve for x
    x = 7,084,913.06/1,822.13
  6. Step 6: Final answer
    x = 3,888.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.