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Finding the Third Proportional to 10,581.89 and 23,242.57

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Solution

The third proportional to 10,581.89 and 23,242.57 is: 51,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.89 : 23,242.57 = 23,242.57 : x
  2. Step 2: Convert to fraction form
    10,581.89/23,242.57 = 23,242.57/x
  3. Step 3: Cross multiply
    10,581.89x = 23,242.57 × 23,242.57
  4. Step 4: Simplify right side
    10,581.89x = 540,217,074.73
  5. Step 5: Solve for x
    x = 540,217,074.73/10,581.89
  6. Step 6: Final answer
    x = 51,051.09

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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.