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Finding the Third Proportional to 21,588 and 33,136.50

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Solution

The third proportional to 21,588 and 33,136.50 is: 50,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588 : 33,136.50 = 33,136.50 : x
  2. Step 2: Convert to fraction form
    21,588/33,136.50 = 33,136.50/x
  3. Step 3: Cross multiply
    21,588x = 33,136.50 × 33,136.50
  4. Step 4: Simplify right side
    21,588x = 1,098,027,632.25
  5. Step 5: Solve for x
    x = 1,098,027,632.25/21,588
  6. Step 6: Final answer
    x = 50,862.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.