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Finding the Third Proportional to 3,434.75 and 4,665.75

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Solution

The third proportional to 3,434.75 and 4,665.75 is: 6,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.75 : 4,665.75 = 4,665.75 : x
  2. Step 2: Convert to fraction form
    3,434.75/4,665.75 = 4,665.75/x
  3. Step 3: Cross multiply
    3,434.75x = 4,665.75 × 4,665.75
  4. Step 4: Simplify right side
    3,434.75x = 21,769,223.06
  5. Step 5: Solve for x
    x = 21,769,223.06/3,434.75
  6. Step 6: Final answer
    x = 6,337.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.