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Finding the Third Proportional to 22,722 and 49,047

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Solution

The third proportional to 22,722 and 49,047 is: 105,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722 : 49,047 = 49,047 : x
  2. Step 2: Convert to fraction form
    22,722/49,047 = 49,047/x
  3. Step 3: Cross multiply
    22,722x = 49,047 × 49,047
  4. Step 4: Simplify right side
    22,722x = 2,405,608,209
  5. Step 5: Solve for x
    x = 2,405,608,209/22,722
  6. Step 6: Final answer
    x = 105,871.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.