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Finding the Third Proportional to 19,824 and 28,575

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Solution

The third proportional to 19,824 and 28,575 is: 41,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 28,575 = 28,575 : x
  2. Step 2: Convert to fraction form
    19,824/28,575 = 28,575/x
  3. Step 3: Cross multiply
    19,824x = 28,575 × 28,575
  4. Step 4: Simplify right side
    19,824x = 816,530,625
  5. Step 5: Solve for x
    x = 816,530,625/19,824
  6. Step 6: Final answer
    x = 41,188.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.