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Finding the Third Proportional to 13,786 and 30,032

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Solution

The third proportional to 13,786 and 30,032 is: 65,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786 : 30,032 = 30,032 : x
  2. Step 2: Convert to fraction form
    13,786/30,032 = 30,032/x
  3. Step 3: Cross multiply
    13,786x = 30,032 × 30,032
  4. Step 4: Simplify right side
    13,786x = 901,921,024
  5. Step 5: Solve for x
    x = 901,921,024/13,786
  6. Step 6: Final answer
    x = 65,422.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.