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Finding the Third Proportional to 10,459 and 22,996

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Solution

The third proportional to 10,459 and 22,996 is: 50,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 22,996 = 22,996 : x
  2. Step 2: Convert to fraction form
    10,459/22,996 = 22,996/x
  3. Step 3: Cross multiply
    10,459x = 22,996 × 22,996
  4. Step 4: Simplify right side
    10,459x = 528,816,016
  5. Step 5: Solve for x
    x = 528,816,016/10,459
  6. Step 6: Final answer
    x = 50,560.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.