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Finding the Third Proportional to 4,164.75 and 5,502.94

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Solution

The third proportional to 4,164.75 and 5,502.94 is: 7,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.75 : 5,502.94 = 5,502.94 : x
  2. Step 2: Convert to fraction form
    4,164.75/5,502.94 = 5,502.94/x
  3. Step 3: Cross multiply
    4,164.75x = 5,502.94 × 5,502.94
  4. Step 4: Simplify right side
    4,164.75x = 30,282,321.13
  5. Step 5: Solve for x
    x = 30,282,321.13/4,164.75
  6. Step 6: Final answer
    x = 7,271.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.