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Finding the Third Proportional to 4,206 and 5,265

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Solution

The third proportional to 4,206 and 5,265 is: 6,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 5,265 = 5,265 : x
  2. Step 2: Convert to fraction form
    4,206/5,265 = 5,265/x
  3. Step 3: Cross multiply
    4,206x = 5,265 × 5,265
  4. Step 4: Simplify right side
    4,206x = 27,720,225
  5. Step 5: Solve for x
    x = 27,720,225/4,206
  6. Step 6: Final answer
    x = 6,590.64

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.