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Finding the Third Proportional to 1,052.87 and 2,292.49

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Solution

The third proportional to 1,052.87 and 2,292.49 is: 4,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.87 : 2,292.49 = 2,292.49 : x
  2. Step 2: Convert to fraction form
    1,052.87/2,292.49 = 2,292.49/x
  3. Step 3: Cross multiply
    1,052.87x = 2,292.49 × 2,292.49
  4. Step 4: Simplify right side
    1,052.87x = 5,255,520.43
  5. Step 5: Solve for x
    x = 5,255,520.43/1,052.87
  6. Step 6: Final answer
    x = 4,991.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.