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Finding the Third Proportional to 22,114 and 47,967

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Solution

The third proportional to 22,114 and 47,967 is: 104,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114 : 47,967 = 47,967 : x
  2. Step 2: Convert to fraction form
    22,114/47,967 = 47,967/x
  3. Step 3: Cross multiply
    22,114x = 47,967 × 47,967
  4. Step 4: Simplify right side
    22,114x = 2,300,833,089
  5. Step 5: Solve for x
    x = 2,300,833,089/22,114
  6. Step 6: Final answer
    x = 104,044.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.