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Finding the Third Proportional to 12,091 and 14,053

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Solution

The third proportional to 12,091 and 14,053 is: 16,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091 : 14,053 = 14,053 : x
  2. Step 2: Convert to fraction form
    12,091/14,053 = 14,053/x
  3. Step 3: Cross multiply
    12,091x = 14,053 × 14,053
  4. Step 4: Simplify right side
    12,091x = 197,486,809
  5. Step 5: Solve for x
    x = 197,486,809/12,091
  6. Step 6: Final answer
    x = 16,333.37

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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.