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Finding the Third Proportional to 21,525 and 32,309.25

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Solution

The third proportional to 21,525 and 32,309.25 is: 48,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525 : 32,309.25 = 32,309.25 : x
  2. Step 2: Convert to fraction form
    21,525/32,309.25 = 32,309.25/x
  3. Step 3: Cross multiply
    21,525x = 32,309.25 × 32,309.25
  4. Step 4: Simplify right side
    21,525x = 1,043,887,635.56
  5. Step 5: Solve for x
    x = 1,043,887,635.56/21,525
  6. Step 6: Final answer
    x = 48,496.52

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