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Finding the Third Proportional to 20,895 and 32,369

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Solution

The third proportional to 20,895 and 32,369 is: 50,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895 : 32,369 = 32,369 : x
  2. Step 2: Convert to fraction form
    20,895/32,369 = 32,369/x
  3. Step 3: Cross multiply
    20,895x = 32,369 × 32,369
  4. Step 4: Simplify right side
    20,895x = 1,047,752,161
  5. Step 5: Solve for x
    x = 1,047,752,161/20,895
  6. Step 6: Final answer
    x = 50,143.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.