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Finding the Third Proportional to 26,812 and 42,498

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Solution

The third proportional to 26,812 and 42,498 is: 67,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812 : 42,498 = 42,498 : x
  2. Step 2: Convert to fraction form
    26,812/42,498 = 42,498/x
  3. Step 3: Cross multiply
    26,812x = 42,498 × 42,498
  4. Step 4: Simplify right side
    26,812x = 1,806,080,004
  5. Step 5: Solve for x
    x = 1,806,080,004/26,812
  6. Step 6: Final answer
    x = 67,360.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.