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Finding the Third Proportional to 14,823 and 31,302

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Solution

The third proportional to 14,823 and 31,302 is: 66,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823 : 31,302 = 31,302 : x
  2. Step 2: Convert to fraction form
    14,823/31,302 = 31,302/x
  3. Step 3: Cross multiply
    14,823x = 31,302 × 31,302
  4. Step 4: Simplify right side
    14,823x = 979,815,204
  5. Step 5: Solve for x
    x = 979,815,204/14,823
  6. Step 6: Final answer
    x = 66,101.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.