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Finding the Third Proportional to 23,469 and 30,465

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Solution

The third proportional to 23,469 and 30,465 is: 39,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469 : 30,465 = 30,465 : x
  2. Step 2: Convert to fraction form
    23,469/30,465 = 30,465/x
  3. Step 3: Cross multiply
    23,469x = 30,465 × 30,465
  4. Step 4: Simplify right side
    23,469x = 928,116,225
  5. Step 5: Solve for x
    x = 928,116,225/23,469
  6. Step 6: Final answer
    x = 39,546.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.