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Finding the Third Proportional to 5,145.75 and 5,658.75

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Solution

The third proportional to 5,145.75 and 5,658.75 is: 6,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.75 : 5,658.75 = 5,658.75 : x
  2. Step 2: Convert to fraction form
    5,145.75/5,658.75 = 5,658.75/x
  3. Step 3: Cross multiply
    5,145.75x = 5,658.75 × 5,658.75
  4. Step 4: Simplify right side
    5,145.75x = 32,021,451.56
  5. Step 5: Solve for x
    x = 32,021,451.56/5,145.75
  6. Step 6: Final answer
    x = 6,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.