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Finding the Third Proportional to 4,857.38 and 7,500.75

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Solution

The third proportional to 4,857.38 and 7,500.75 is: 11,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.38 : 7,500.75 = 7,500.75 : x
  2. Step 2: Convert to fraction form
    4,857.38/7,500.75 = 7,500.75/x
  3. Step 3: Cross multiply
    4,857.38x = 7,500.75 × 7,500.75
  4. Step 4: Simplify right side
    4,857.38x = 56,261,250.56
  5. Step 5: Solve for x
    x = 56,261,250.56/4,857.38
  6. Step 6: Final answer
    x = 11,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.