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Finding the Third Proportional to 14,652 and 19,892.25

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Solution

The third proportional to 14,652 and 19,892.25 is: 27,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652 : 19,892.25 = 19,892.25 : x
  2. Step 2: Convert to fraction form
    14,652/19,892.25 = 19,892.25/x
  3. Step 3: Cross multiply
    14,652x = 19,892.25 × 19,892.25
  4. Step 4: Simplify right side
    14,652x = 395,701,610.06
  5. Step 5: Solve for x
    x = 395,701,610.06/14,652
  6. Step 6: Final answer
    x = 27,006.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.