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Finding the Third Proportional to 881.72 and 1,972.27

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Solution

The third proportional to 881.72 and 1,972.27 is: 4,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.72 : 1,972.27 = 1,972.27 : x
  2. Step 2: Convert to fraction form
    881.72/1,972.27 = 1,972.27/x
  3. Step 3: Cross multiply
    881.72x = 1,972.27 × 1,972.27
  4. Step 4: Simplify right side
    881.72x = 3,889,831.70
  5. Step 5: Solve for x
    x = 3,889,831.70/881.72
  6. Step 6: Final answer
    x = 4,411.65

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.