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Finding the Third Proportional to 1,440.70 and 2,934.28

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Solution

The third proportional to 1,440.70 and 2,934.28 is: 5,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.70 : 2,934.28 = 2,934.28 : x
  2. Step 2: Convert to fraction form
    1,440.70/2,934.28 = 2,934.28/x
  3. Step 3: Cross multiply
    1,440.70x = 2,934.28 × 2,934.28
  4. Step 4: Simplify right side
    1,440.70x = 8,610,006.45
  5. Step 5: Solve for x
    x = 8,610,006.45/1,440.70
  6. Step 6: Final answer
    x = 5,976.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.