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Finding the Third Proportional to 14,969 and 21,823

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Solution

The third proportional to 14,969 and 21,823 is: 31,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969 : 21,823 = 21,823 : x
  2. Step 2: Convert to fraction form
    14,969/21,823 = 21,823/x
  3. Step 3: Cross multiply
    14,969x = 21,823 × 21,823
  4. Step 4: Simplify right side
    14,969x = 476,243,329
  5. Step 5: Solve for x
    x = 476,243,329/14,969
  6. Step 6: Final answer
    x = 31,815.31

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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.