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Finding the Third Proportional to 12,089 and 14,051

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Solution

The third proportional to 12,089 and 14,051 is: 16,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089 : 14,051 = 14,051 : x
  2. Step 2: Convert to fraction form
    12,089/14,051 = 14,051/x
  3. Step 3: Cross multiply
    12,089x = 14,051 × 14,051
  4. Step 4: Simplify right side
    12,089x = 197,430,601
  5. Step 5: Solve for x
    x = 197,430,601/12,089
  6. Step 6: Final answer
    x = 16,331.43

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.