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Finding the Third Proportional to 4,051.69 and 5,176.78

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Solution

The third proportional to 4,051.69 and 5,176.78 is: 6,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.69 : 5,176.78 = 5,176.78 : x
  2. Step 2: Convert to fraction form
    4,051.69/5,176.78 = 5,176.78/x
  3. Step 3: Cross multiply
    4,051.69x = 5,176.78 × 5,176.78
  4. Step 4: Simplify right side
    4,051.69x = 26,799,064.11
  5. Step 5: Solve for x
    x = 26,799,064.11/4,051.69
  6. Step 6: Final answer
    x = 6,614.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.