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Finding the Third Proportional to 17,106 and 24,991

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Solution

The third proportional to 17,106 and 24,991 is: 36,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106 : 24,991 = 24,991 : x
  2. Step 2: Convert to fraction form
    17,106/24,991 = 24,991/x
  3. Step 3: Cross multiply
    17,106x = 24,991 × 24,991
  4. Step 4: Simplify right side
    17,106x = 624,550,081
  5. Step 5: Solve for x
    x = 624,550,081/17,106
  6. Step 6: Final answer
    x = 36,510.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.