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Finding the Third Proportional to 2,755.64 and 4,158.30

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Solution

The third proportional to 2,755.64 and 4,158.30 is: 6,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.64 : 4,158.30 = 4,158.30 : x
  2. Step 2: Convert to fraction form
    2,755.64/4,158.30 = 4,158.30/x
  3. Step 3: Cross multiply
    2,755.64x = 4,158.30 × 4,158.30
  4. Step 4: Simplify right side
    2,755.64x = 17,291,497.87
  5. Step 5: Solve for x
    x = 17,291,497.87/2,755.64
  6. Step 6: Final answer
    x = 6,274.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.