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Finding the Third Proportional to 11,404 and 17,862

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Solution

The third proportional to 11,404 and 17,862 is: 27,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404 : 17,862 = 17,862 : x
  2. Step 2: Convert to fraction form
    11,404/17,862 = 17,862/x
  3. Step 3: Cross multiply
    11,404x = 17,862 × 17,862
  4. Step 4: Simplify right side
    11,404x = 319,051,044
  5. Step 5: Solve for x
    x = 319,051,044/11,404
  6. Step 6: Final answer
    x = 27,977.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.