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Finding the Third Proportional to 4,161 and 5,623.50

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Solution

The third proportional to 4,161 and 5,623.50 is: 7,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161 : 5,623.50 = 5,623.50 : x
  2. Step 2: Convert to fraction form
    4,161/5,623.50 = 5,623.50/x
  3. Step 3: Cross multiply
    4,161x = 5,623.50 × 5,623.50
  4. Step 4: Simplify right side
    4,161x = 31,623,752.25
  5. Step 5: Solve for x
    x = 31,623,752.25/4,161
  6. Step 6: Final answer
    x = 7,600.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.