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Finding the Third Proportional to 1,432.94 and 1,933.38

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Solution

The third proportional to 1,432.94 and 1,933.38 is: 2,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.94 : 1,933.38 = 1,933.38 : x
  2. Step 2: Convert to fraction form
    1,432.94/1,933.38 = 1,933.38/x
  3. Step 3: Cross multiply
    1,432.94x = 1,933.38 × 1,933.38
  4. Step 4: Simplify right side
    1,432.94x = 3,737,938.89
  5. Step 5: Solve for x
    x = 3,737,938.89/1,432.94
  6. Step 6: Final answer
    x = 2,608.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.