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Finding the Third Proportional to 2,894.06 and 4,333.92

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Solution

The third proportional to 2,894.06 and 4,333.92 is: 6,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.06 : 4,333.92 = 4,333.92 : x
  2. Step 2: Convert to fraction form
    2,894.06/4,333.92 = 4,333.92/x
  3. Step 3: Cross multiply
    2,894.06x = 4,333.92 × 4,333.92
  4. Step 4: Simplify right side
    2,894.06x = 18,782,878.82
  5. Step 5: Solve for x
    x = 18,782,878.82/2,894.06
  6. Step 6: Final answer
    x = 6,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.