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Finding the Third Proportional to 1,254.38 and 1,951.03

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Solution

The third proportional to 1,254.38 and 1,951.03 is: 3,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.38 : 1,951.03 = 1,951.03 : x
  2. Step 2: Convert to fraction form
    1,254.38/1,951.03 = 1,951.03/x
  3. Step 3: Cross multiply
    1,254.38x = 1,951.03 × 1,951.03
  4. Step 4: Simplify right side
    1,254.38x = 3,806,522.94
  5. Step 5: Solve for x
    x = 3,806,522.94/1,254.38
  6. Step 6: Final answer
    x = 3,034.60

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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.