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Finding the Third Proportional to 10,721.44 and 23,624.25

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Solution

The third proportional to 10,721.44 and 23,624.25 is: 52,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.44 : 23,624.25 = 23,624.25 : x
  2. Step 2: Convert to fraction form
    10,721.44/23,624.25 = 23,624.25/x
  3. Step 3: Cross multiply
    10,721.44x = 23,624.25 × 23,624.25
  4. Step 4: Simplify right side
    10,721.44x = 558,105,188.06
  5. Step 5: Solve for x
    x = 558,105,188.06/10,721.44
  6. Step 6: Final answer
    x = 52,055.07

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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.