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Finding the Third Proportional to 914.20 and 1,972.27

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Solution

The third proportional to 914.20 and 1,972.27 is: 4,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,972.27 = 1,972.27 : x
  2. Step 2: Convert to fraction form
    914.20/1,972.27 = 1,972.27/x
  3. Step 3: Cross multiply
    914.20x = 1,972.27 × 1,972.27
  4. Step 4: Simplify right side
    914.20x = 3,889,831.70
  5. Step 5: Solve for x
    x = 3,889,831.70/914.20
  6. Step 6: Final answer
    x = 4,254.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.