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Finding the Third Proportional to 23,968.69 and 35,213.63

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Solution

The third proportional to 23,968.69 and 35,213.63 is: 51,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.69 : 35,213.63 = 35,213.63 : x
  2. Step 2: Convert to fraction form
    23,968.69/35,213.63 = 35,213.63/x
  3. Step 3: Cross multiply
    23,968.69x = 35,213.63 × 35,213.63
  4. Step 4: Simplify right side
    23,968.69x = 1,239,999,385.64
  5. Step 5: Solve for x
    x = 1,239,999,385.64/23,968.69
  6. Step 6: Final answer
    x = 51,734.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.