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Finding the Third Proportional to 28,233 and 41,485

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Solution

The third proportional to 28,233 and 41,485 is: 60,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,233 : 41,485 = 41,485 : x
  2. Step 2: Convert to fraction form
    28,233/41,485 = 41,485/x
  3. Step 3: Cross multiply
    28,233x = 41,485 × 41,485
  4. Step 4: Simplify right side
    28,233x = 1,721,005,225
  5. Step 5: Solve for x
    x = 1,721,005,225/28,233
  6. Step 6: Final answer
    x = 60,957.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.