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Finding the Third Proportional to 14,823 and 34,991

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Solution

The third proportional to 14,823 and 34,991 is: 82,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823 : 34,991 = 34,991 : x
  2. Step 2: Convert to fraction form
    14,823/34,991 = 34,991/x
  3. Step 3: Cross multiply
    14,823x = 34,991 × 34,991
  4. Step 4: Simplify right side
    14,823x = 1,224,370,081
  5. Step 5: Solve for x
    x = 1,224,370,081/14,823
  6. Step 6: Final answer
    x = 82,599.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.