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Finding the Third Proportional to 23,564.81 and 50,820.19

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Solution

The third proportional to 23,564.81 and 50,820.19 is: 109,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.81 : 50,820.19 = 50,820.19 : x
  2. Step 2: Convert to fraction form
    23,564.81/50,820.19 = 50,820.19/x
  3. Step 3: Cross multiply
    23,564.81x = 50,820.19 × 50,820.19
  4. Step 4: Simplify right side
    23,564.81x = 2,582,691,457.54
  5. Step 5: Solve for x
    x = 2,582,691,457.54/23,564.81
  6. Step 6: Final answer
    x = 109,599.49

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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.