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Finding the Third Proportional to 8,497 and 17,768

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Solution

The third proportional to 8,497 and 17,768 is: 37,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 17,768 = 17,768 : x
  2. Step 2: Convert to fraction form
    8,497/17,768 = 17,768/x
  3. Step 3: Cross multiply
    8,497x = 17,768 × 17,768
  4. Step 4: Simplify right side
    8,497x = 315,701,824
  5. Step 5: Solve for x
    x = 315,701,824/8,497
  6. Step 6: Final answer
    x = 37,154.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.