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Finding the Third Proportional to 21,571.50 and 48,165

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Solution

The third proportional to 21,571.50 and 48,165 is: 107,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.50 : 48,165 = 48,165 : x
  2. Step 2: Convert to fraction form
    21,571.50/48,165 = 48,165/x
  3. Step 3: Cross multiply
    21,571.50x = 48,165 × 48,165
  4. Step 4: Simplify right side
    21,571.50x = 2,319,867,225
  5. Step 5: Solve for x
    x = 2,319,867,225/21,571.50
  6. Step 6: Final answer
    x = 107,543.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.