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Finding the Third Proportional to 21,895 and 33,967

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Solution

The third proportional to 21,895 and 33,967 is: 52,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895 : 33,967 = 33,967 : x
  2. Step 2: Convert to fraction form
    21,895/33,967 = 33,967/x
  3. Step 3: Cross multiply
    21,895x = 33,967 × 33,967
  4. Step 4: Simplify right side
    21,895x = 1,153,757,089
  5. Step 5: Solve for x
    x = 1,153,757,089/21,895
  6. Step 6: Final answer
    x = 52,695.00

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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.