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Finding the Third Proportional to 17,562 and 33,501

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Solution

The third proportional to 17,562 and 33,501 is: 63,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562 : 33,501 = 33,501 : x
  2. Step 2: Convert to fraction form
    17,562/33,501 = 33,501/x
  3. Step 3: Cross multiply
    17,562x = 33,501 × 33,501
  4. Step 4: Simplify right side
    17,562x = 1,122,317,001
  5. Step 5: Solve for x
    x = 1,122,317,001/17,562
  6. Step 6: Final answer
    x = 63,905.99

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.