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Finding the Third Proportional to 849.23 and 1,865.53

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Solution

The third proportional to 849.23 and 1,865.53 is: 4,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.23 : 1,865.53 = 1,865.53 : x
  2. Step 2: Convert to fraction form
    849.23/1,865.53 = 1,865.53/x
  3. Step 3: Cross multiply
    849.23x = 1,865.53 × 1,865.53
  4. Step 4: Simplify right side
    849.23x = 3,480,206.84
  5. Step 5: Solve for x
    x = 3,480,206.84/849.23
  6. Step 6: Final answer
    x = 4,098.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.