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Finding the Third Proportional to 23,419 and 41,639

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Solution

The third proportional to 23,419 and 41,639 is: 74,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419 : 41,639 = 41,639 : x
  2. Step 2: Convert to fraction form
    23,419/41,639 = 41,639/x
  3. Step 3: Cross multiply
    23,419x = 41,639 × 41,639
  4. Step 4: Simplify right side
    23,419x = 1,733,806,321
  5. Step 5: Solve for x
    x = 1,733,806,321/23,419
  6. Step 6: Final answer
    x = 74,034.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.