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Finding the Third Proportional to 849.55 and 1,871.55

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Solution

The third proportional to 849.55 and 1,871.55 is: 4,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.55 : 1,871.55 = 1,871.55 : x
  2. Step 2: Convert to fraction form
    849.55/1,871.55 = 1,871.55/x
  3. Step 3: Cross multiply
    849.55x = 1,871.55 × 1,871.55
  4. Step 4: Simplify right side
    849.55x = 3,502,716.95
  5. Step 5: Solve for x
    x = 3,502,716.95/849.55
  6. Step 6: Final answer
    x = 4,123.02

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