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Finding the Third Proportional to 1,934.50 and 5,241.50

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Solution

The third proportional to 1,934.50 and 5,241.50 is: 14,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.50 : 5,241.50 = 5,241.50 : x
  2. Step 2: Convert to fraction form
    1,934.50/5,241.50 = 5,241.50/x
  3. Step 3: Cross multiply
    1,934.50x = 5,241.50 × 5,241.50
  4. Step 4: Simplify right side
    1,934.50x = 27,473,322.25
  5. Step 5: Solve for x
    x = 27,473,322.25/1,934.50
  6. Step 6: Final answer
    x = 14,201.77

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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.