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Finding the Third Proportional to 1,447.03 and 1,972.27

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Solution

The third proportional to 1,447.03 and 1,972.27 is: 2,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.03 : 1,972.27 = 1,972.27 : x
  2. Step 2: Convert to fraction form
    1,447.03/1,972.27 = 1,972.27/x
  3. Step 3: Cross multiply
    1,447.03x = 1,972.27 × 1,972.27
  4. Step 4: Simplify right side
    1,447.03x = 3,889,831.70
  5. Step 5: Solve for x
    x = 3,889,831.70/1,447.03
  6. Step 6: Final answer
    x = 2,688.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.