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Finding the Third Proportional to 14,886 and 20,813

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Solution

The third proportional to 14,886 and 20,813 is: 29,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886 : 20,813 = 20,813 : x
  2. Step 2: Convert to fraction form
    14,886/20,813 = 20,813/x
  3. Step 3: Cross multiply
    14,886x = 20,813 × 20,813
  4. Step 4: Simplify right side
    14,886x = 433,180,969
  5. Step 5: Solve for x
    x = 433,180,969/14,886
  6. Step 6: Final answer
    x = 29,099.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.