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Finding the Third Proportional to 2,943.84 and 4,518.28

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Solution

The third proportional to 2,943.84 and 4,518.28 is: 6,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.84 : 4,518.28 = 4,518.28 : x
  2. Step 2: Convert to fraction form
    2,943.84/4,518.28 = 4,518.28/x
  3. Step 3: Cross multiply
    2,943.84x = 4,518.28 × 4,518.28
  4. Step 4: Simplify right side
    2,943.84x = 20,414,865.45
  5. Step 5: Solve for x
    x = 20,414,865.45/2,943.84
  6. Step 6: Final answer
    x = 6,934.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.