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Finding the Third Proportional to 2,775.52 and 4,157.58

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Solution

The third proportional to 2,775.52 and 4,157.58 is: 6,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.52 : 4,157.58 = 4,157.58 : x
  2. Step 2: Convert to fraction form
    2,775.52/4,157.58 = 4,157.58/x
  3. Step 3: Cross multiply
    2,775.52x = 4,157.58 × 4,157.58
  4. Step 4: Simplify right side
    2,775.52x = 17,285,455.87
  5. Step 5: Solve for x
    x = 17,285,455.87/2,775.52
  6. Step 6: Final answer
    x = 6,227.84

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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.