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Finding the Third Proportional to 17,836 and 26,497

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Solution

The third proportional to 17,836 and 26,497 is: 39,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836 : 26,497 = 26,497 : x
  2. Step 2: Convert to fraction form
    17,836/26,497 = 26,497/x
  3. Step 3: Cross multiply
    17,836x = 26,497 × 26,497
  4. Step 4: Simplify right side
    17,836x = 702,091,009
  5. Step 5: Solve for x
    x = 702,091,009/17,836
  6. Step 6: Final answer
    x = 39,363.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.