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Finding the Third Proportional to 2,649.38 and 4,178.25

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Solution

The third proportional to 2,649.38 and 4,178.25 is: 6,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.38 : 4,178.25 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    2,649.38/4,178.25 = 4,178.25/x
  3. Step 3: Cross multiply
    2,649.38x = 4,178.25 × 4,178.25
  4. Step 4: Simplify right side
    2,649.38x = 17,457,773.06
  5. Step 5: Solve for x
    x = 17,457,773.06/2,649.38
  6. Step 6: Final answer
    x = 6,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.