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Finding the Third Proportional to 14,196 and 19,862

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Solution

The third proportional to 14,196 and 19,862 is: 27,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196 : 19,862 = 19,862 : x
  2. Step 2: Convert to fraction form
    14,196/19,862 = 19,862/x
  3. Step 3: Cross multiply
    14,196x = 19,862 × 19,862
  4. Step 4: Simplify right side
    14,196x = 394,499,044
  5. Step 5: Solve for x
    x = 394,499,044/14,196
  6. Step 6: Final answer
    x = 27,789.45

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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.