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Finding the Third Proportional to 2,482.88 and 3,785.63

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Solution

The third proportional to 2,482.88 and 3,785.63 is: 5,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.88 : 3,785.63 = 3,785.63 : x
  2. Step 2: Convert to fraction form
    2,482.88/3,785.63 = 3,785.63/x
  3. Step 3: Cross multiply
    2,482.88x = 3,785.63 × 3,785.63
  4. Step 4: Simplify right side
    2,482.88x = 14,330,956.64
  5. Step 5: Solve for x
    x = 14,330,956.64/2,482.88
  6. Step 6: Final answer
    x = 5,771.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.