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Finding the Third Proportional to 16,715 and 24,991

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Solution

The third proportional to 16,715 and 24,991 is: 37,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715 : 24,991 = 24,991 : x
  2. Step 2: Convert to fraction form
    16,715/24,991 = 24,991/x
  3. Step 3: Cross multiply
    16,715x = 24,991 × 24,991
  4. Step 4: Simplify right side
    16,715x = 624,550,081
  5. Step 5: Solve for x
    x = 624,550,081/16,715
  6. Step 6: Final answer
    x = 37,364.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.