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Finding the Third Proportional to 21,774 and 32,575

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Solution

The third proportional to 21,774 and 32,575 is: 48,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774 : 32,575 = 32,575 : x
  2. Step 2: Convert to fraction form
    21,774/32,575 = 32,575/x
  3. Step 3: Cross multiply
    21,774x = 32,575 × 32,575
  4. Step 4: Simplify right side
    21,774x = 1,061,130,625
  5. Step 5: Solve for x
    x = 1,061,130,625/21,774
  6. Step 6: Final answer
    x = 48,733.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.