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Finding the Third Proportional to 2,473.66 and 3,825.35

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Solution

The third proportional to 2,473.66 and 3,825.35 is: 5,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.66 : 3,825.35 = 3,825.35 : x
  2. Step 2: Convert to fraction form
    2,473.66/3,825.35 = 3,825.35/x
  3. Step 3: Cross multiply
    2,473.66x = 3,825.35 × 3,825.35
  4. Step 4: Simplify right side
    2,473.66x = 14,633,314.58
  5. Step 5: Solve for x
    x = 14,633,314.58/2,473.66
  6. Step 6: Final answer
    x = 5,915.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.