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Finding the Third Proportional to 20,895 and 32,613

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Solution

The third proportional to 20,895 and 32,613 is: 50,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895 : 32,613 = 32,613 : x
  2. Step 2: Convert to fraction form
    20,895/32,613 = 32,613/x
  3. Step 3: Cross multiply
    20,895x = 32,613 × 32,613
  4. Step 4: Simplify right side
    20,895x = 1,063,607,769
  5. Step 5: Solve for x
    x = 1,063,607,769/20,895
  6. Step 6: Final answer
    x = 50,902.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.