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Finding the Third Proportional to 850.13 and 1,822.13

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Solution

The third proportional to 850.13 and 1,822.13 is: 3,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.13 : 1,822.13 = 1,822.13 : x
  2. Step 2: Convert to fraction form
    850.13/1,822.13 = 1,822.13/x
  3. Step 3: Cross multiply
    850.13x = 1,822.13 × 1,822.13
  4. Step 4: Simplify right side
    850.13x = 3,320,139.52
  5. Step 5: Solve for x
    x = 3,320,139.52/850.13
  6. Step 6: Final answer
    x = 3,905.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.