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Finding the Third Proportional to 2,076 and 3,241.50

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Solution

The third proportional to 2,076 and 3,241.50 is: 5,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 3,241.50 = 3,241.50 : x
  2. Step 2: Convert to fraction form
    2,076/3,241.50 = 3,241.50/x
  3. Step 3: Cross multiply
    2,076x = 3,241.50 × 3,241.50
  4. Step 4: Simplify right side
    2,076x = 10,507,322.25
  5. Step 5: Solve for x
    x = 10,507,322.25/2,076
  6. Step 6: Final answer
    x = 5,061.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.