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Finding the Third Proportional to 914.34 and 1,974.94

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Solution

The third proportional to 914.34 and 1,974.94 is: 4,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.34 : 1,974.94 = 1,974.94 : x
  2. Step 2: Convert to fraction form
    914.34/1,974.94 = 1,974.94/x
  3. Step 3: Cross multiply
    914.34x = 1,974.94 × 1,974.94
  4. Step 4: Simplify right side
    914.34x = 3,900,378.13
  5. Step 5: Solve for x
    x = 3,900,378.13/914.34
  6. Step 6: Final answer
    x = 4,265.77

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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.