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Finding the Third Proportional to 26,469 and 34,717.50

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Solution

The third proportional to 26,469 and 34,717.50 is: 45,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 34,717.50 = 34,717.50 : x
  2. Step 2: Convert to fraction form
    26,469/34,717.50 = 34,717.50/x
  3. Step 3: Cross multiply
    26,469x = 34,717.50 × 34,717.50
  4. Step 4: Simplify right side
    26,469x = 1,205,304,806.25
  5. Step 5: Solve for x
    x = 1,205,304,806.25/26,469
  6. Step 6: Final answer
    x = 45,536.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.