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Finding the Third Proportional to 10,957.50 and 23,964.75

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Solution

The third proportional to 10,957.50 and 23,964.75 is: 52,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.50 : 23,964.75 = 23,964.75 : x
  2. Step 2: Convert to fraction form
    10,957.50/23,964.75 = 23,964.75/x
  3. Step 3: Cross multiply
    10,957.50x = 23,964.75 × 23,964.75
  4. Step 4: Simplify right side
    10,957.50x = 574,309,242.56
  5. Step 5: Solve for x
    x = 574,309,242.56/10,957.50
  6. Step 6: Final answer
    x = 52,412.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.